There are 131 mods in total on the Mianite server of season 2 here are all of them with a small summary as requested by "A Wikia contributor." P.S all cores are necessary for corresponding mods.
Animation API - animation for entities
Applied Energistics 2 - responsible for the storage system or "ME" system used by most players
Archimedes Ships - Enables unique ship building for better sailing over seas
Aroma Backup - scheduled backups, backups by executing a command, backups on world load/unload, and deletes old backups
Aroma Core - runs aroma-backup
Ars Magica 2- adds magic spells through books including the famous dig spell used by James "Waglington" Hayes
AsieLib - required to run mods by Asie
Autopackager - Just a simple machine that takes RF power and scans an inventory to the left (when facing the front) and crafts any item of a single type that can be crafted in a 2x2 or 3x3 grid (i.e. nether quartz -> quartz blocks or iron ingots -> block of iron), placing the result in an inventory to the right.
Balkon's Weapons - Balkon’s WeaponMod adds a whole new range of exciting weapons to Minecraft from spears and knives to crossbows and muskets!
BDLlib - mod by bdew. The purpose of the mod is to provide an API with code that isn't specific to any particular mod
BiblioCraft - adds a number of useful blocks, that are aesthetically pleasing and are used to display items and equipment
BiblioWoods - allow the player to craft 8 of the wooden BiblioCraft blocks in the different woods provided
Big Reactors - provides high-end multi-block power generation systems. It uses Thermal Expansion's redstone Flux
Biomes O' Plenty - adds tons of new biomes to both the overworld and the nether
Blood Magic - magic themed mod adds blood as an energy source for Tucker so that he can be a boss
Botania - magic based around flowers and other natural plant life
bspkrs Core - Core for the Armour status, direction, effect, etc. HUDS
BuildCraft - variety of machines that can be used to automate processes. They all require MJ power to function
Carpenter's Blocks - adds several new blocks that can be "disguised" to change their textushits for aesthetic purposes
Chisel - adds a huge variety of static blocks to the game. This mod will be very useful for people who like the construction aspect of Minecraft
code chicken core - core for all of chicken bone's mods
cofh core - core for all team CoFH mods
compact-machines - Adds one simple game mechanic: Small rooms inside of blocks. It basically gives you the ability to build your contraptions inside of a single block
computronics - adds some new interesting peripherals, including simple Cameras, Cassette Tapes and MiscP's Iron Note Blocks and Chat Boxes
crafting pillars - lots and lots of new and different pillars
damage indicators - displays the health of any mob that is nearby or that you are currently attacking
dense ores - adds 'dense' versions of ore blocks that will drop 3x the items that regular ore
easy crafting - allows you to automatically craft items from the resources available in your inventory
enchanting plus - completely gets rid of the randomness of enchanting and allows you to pick what YOU want on your tools
enchiridion - gives people a range of custom books from the zip files in the configs
ender io - implements compact transportation for power, items and liquids, making it possible to run different types of conduits in a single block
ender storage - adds multiple Ender Chests with separate inventories. It also adds the Ender Pouch
ender tech - new type of structural Tank to Minecraft along with a few other things like charge pads
enhanced portals - allows for the creation of various sized portals that can link to anywhere in any dimension
extra tic - Adds additional tools and weapons for Tinkers' Construct including more mod support
extra utilities - adds bunch of cool new blocks and items to minecraft that will make your minecraft life so much easier
factorization - adds new machines for processing ore
fast craft - sophisticated mod which improves the client and server performance significantly without any game play changes
flaxbeards steam power - tech based steam power
forbidden-magic - adds two new tabs to the Thaumonomicon; the Apocrypha and the Tainted Arts
forge - modloader
fox lib - command library
funky locomotion - moves blocks dynamically
fz addons - add-on for the Factorization mod. It gives the Factorization ore processing system the ability to process lots more type of ores
galacti craft - allows you to explore the solar system in your own spaceship
gravestone mod - adds gravestones upon death that store items player had on them
growth craft - aims to improve the agricultural or farming aspect of the game
hardcore ender expansion - offers unique, new content across the End
hats - adds wearable hats
head crumbs - allows all mobs to now drop their heads - https://minecraft.curseforge.com/projects/headcrumbs?gameCategorySlug=mc-mods&projectID=222838
help fixer - changes the /help command to go around the offending code and sort the commands by a method that will work - https://minecraft.curseforge.com/projects/helpfixer?gameCategorySlug=mc-mods&projectID=223797
ichun util - GRAVITY GUN!!! - https://minecraft.curseforge.com/projects/ichunutil?gameCategorySlug=mc-mods&projectID=229060
inpure core - core for inpure mods - https://minecraft.curseforge.com/projects/inpurecore?gameCategorySlug=mc-mods&projectID=223792
inventory tweaks - auto arrange inventory - https://minecraft.curseforge.com/projects/inventory-tweaks?gameCategorySlug=mc-mods&projectID=223094
iron chests - variety of new chest diamond, iron, gold, etc. - https://minecraft.curseforge.com/projects/iron-chests?gameCategorySlug=mc-mods&projectID=228756
link info - info about links
lunatrius core - lunatrias mod core - https://minecraft.curseforge.com/projects/lunatriuscore?gameCategorySlug=mc-mods&projectID=225605
malisis cololre - mod support - https://minecraft.curseforge.com/projects/malisiscore?gameCategorySlug=mc-mods&projectID=223896
malisis doors - new doors and animations for them - https://minecraft.curseforge.com/projects/malisisdoors?gameCategorySlug=mc-mods&projectID=223891
mantle - forge support - https://minecraft.curseforge.com/projects/mantle?gameCategorySlug=mc-mods&projectID=74924
mari culture - aquatic environment improvements - https://minecraft.curseforge.com/projects/mariculture?gameCategorySlug=mc-mods&projectID=68023
metallurgy - adds few dozen new metals - https://minecraft.curseforge.com/projects/metallurgy?gameCategorySlug=mc-mods&projectID=59641
metallurgy core - core for metallurgy - https://minecraft.curseforge.com/projects/metallurgy-core?gameCategorySlug=mc-mods&projectID=78640
mfr - replaces strip mining - https://minecraft.curseforge.com/projects/minefactory-reloaded?gameCategorySlug=mc-mods&projectID=66672
mianite configs - adds noticeable mianite objects ex. sugar of ianite -
mine chem - chemistry and physics - https://minecraft.curseforge.com/projects/minechem?gameCategorySlug=mc-mods&projectID=73373
mine menu - key bindings, commands, and creative functions - https://minecraft.curseforge.com/projects/minemenu?gameCategorySlug=mc-mods&projectID=222378
morph - allows you to morph into anything you have killed - https://minecraft.curseforge.com/projects/morph?gameCategorySlug=mc-mods&projectID=229080
natura - interesting world gen - https://minecraft.curseforge.com/projects/natura?gameCategorySlug=mc-mods&projectID=74120
nei - allows for viewing of recipes for all items - https://minecraft.curseforge.com/projects/not-enough-items-1-8?gameCategorySlug=mc-mods&projectID=247694
nei addons - adds item viewing controls - https://minecraft.curseforge.com/projects/nei-addons?gameCategorySlug=mc-mods&projectID=63352
nei integration - mod recipes - https://minecraft.curseforge.com/projects/nei-integration?gameCategorySlug=mc-mods&projectID=225251
nether ores - adds many different ores to the nether - https://minecraft.curseforge.com/projects/netherores?gameCategorySlug=mc-mods&projectID=66675
not enough keys - modifies the controls/keybindings menu in Minecraft by grouping the keybindings on different pages -
open blocks - adds various helpful and fun blocks and items into the Minecraft environment - https://minecraft.curseforge.com/projects/openblocks?gameCategorySlug=mc-mods&projectID=228816
open computers - adds programmable, modular and persistent computers to the game - https://minecraft.curseforge.com/projects/opencomputers?gameCategorySlug=mc-mods&projectID=223008
open mods lib - library for all "open" mods - https://minecraft.curseforge.com/projects/openmodslib?gameCategorySlug=mc-mods&projectID=228815
optifine - improves frame rate and game play -
ore dictionary converter - adds an item/block that converts between different versions of the same ore /using the Forge Ore Dictionary - https://minecraft.curseforge.com/projects/oredictionaryconverter?gameCategorySlug=mc-mods&projectID=227564
pams harvestcraft - 58 new crops 12 new bushes
pneumatic craft - based around using pressurized air to perform various tasks. It adds a wide variety of plants to world generation
practicalities - simple/practical functionality
pressure pipes - helps you to transfer liquid things in easier ways
project red - more redstone and redstone technology
railcraft - adds many new kinds of minecarts and tracks, as well as improvements to how minecarts worstickyodickk
random things - adds a variety of miscellaneous objects e.g The spectre Dimension
redstone arsenal - adds tools and weaponry which harness the power of Redstone Flux, the energy system added by CoFH
redstone paste - placed in a variety of directions that will allow you create a more compact redstone path
refined relocation - allows the user to configure chests to accept certain items, using the filtering system
render decorator - modloader
roguelike dungeons - generates large underground dungeon structures which have a procedurally generated layout and loot
sanguimancy - Automation for all your Blood Magic needs
scf - simple Plugin that helps users on your Server to find the Color Code they are looking for
Schematica - makes the replication of structures and world parts a lot easier and less time consuming
SecurityCraft - Lasers, retinal scanners, keypads, unbreakable doors and more
Shatter - adds a new death animation
Simply Jetpacks - add-on to either Thermal Expansion or Ender IO or both. It addsjetpacks that can be used to fly
Solar Flux - adds 6 different tiers of solar panels that produce redstone flux.
Special Mobs - adds new types of many of the vanilla mobs. When spawning, mobs have a slight chance of being a new type
ssr - enables you to get mob spawners by killing a range of mods
Stackie - It will group all items of the same type and experience orbs into stacks of a maximum of 2048 items
Steve's Carts 2 - adds over 20 new carts to the game
Steve's Factory Manager - allows players to set up systems to manage and move items between inventories and machines
Steve's Workshop - adds a production table that contains multiple modular crafting tables and/or furnaces.
Sync - adds the ability to create clones which you can switch into.
Tabby Chat - dramatically improves communication through text with others, things like consolidating spam and showing text in files.
Tails - allows construction and customization of tails.
Tinkers' Construct - mod about creating tools entirely from scratch in a large variety of ways, then modifying them with different materials to improve their efficiency, damage, etc.
Thaumcraft - allows you to manipulate the energy around you in the form of "vis" (pronounced "vee" or "veece") to perform different, and often magical, tasks.
Thaumcraft NEI - Not Enough Items Integration for Thaumcraft 4
Thaumic Exploration - Thaumcraft 4 addon, with the goal of simply adding more balanced Thaumcraft content
Thaumic Tinkerer - mod that entails tinkering with Thaumic creations.
Thermal Expansion - Adds growable reed versions of ores and includes mod support for mods like Forestry, IC2, Applied Energistics and more.
Thermal Foundation - provides a variety of new metals and ores, some of which are commonly used in crafting machines.
TiC Tooltips - simple client-side add-on for Tinkers' Construct that adds relevant stats to all tool and tool part tooltips.
Tiinkers' Mechworks - Tinkers' Construct add on.
TreeCapitator - allows you to chop down trees by cutting one of its logs. Similar to Timber mod.
ttCore - config option tooltips.
Twilight Forest - adds new realm called The Twilight Forest with new mobs, bosses, dungeons and items.
VoxelMap - minimap and worldmap mod that makes a great effort to be accurate to the colors you see in the world.
VoxelCam - screenshot mod.
VoxelLib - library for all Voxel mods.
VoxelMenu - overhauls the Minecraft menu system to vastly improve its visual appearance.
VoxelPlayer - adds various new features to enhance multiplayer experience.
What Am I Looking At? - extension for NEI shows the health and name of the entity your targeting.
WAILA harvestability - add-on for Waila that adds information about the harvestability of what you are looking at.
WAILA plugins - adds WAILA plugins for many popular mods. The benefit of this is you are able to see information about their blocks.
Witchery - allows players to explore the magical art of witchcraft and though it, to learn to control the natural magic.
Wireless Redstone Chciken Bones Edition - allows the transmission of a wireless redstone state.
Ztones - Building Blocks, Portable Crafting Table, Rare Tools. Ztones adds modern/futuristic style decorative blocks, rare tools with unique functions.