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 -

help fixer - changes the /help command to go around the offending code and sort the commands by a method that will work -

ichun util - GRAVITY GUN!!! -

inpure core - core for inpure mods -

inventory tweaks - auto arrange inventory -

iron chests - variety of new chest diamond, iron, gold, etc. -

link info - info about links

liquid dirt - mud :/ -

lunatrius core - lunatrias mod core -

malisis cololre - mod support -

malisis doors - new doors and animations for them -

mantle - forge support -

mari culture - aquatic environment improvements -

metallurgy - adds few dozen new metals -

metallurgy core - core for metallurgy -

mfr - replaces strip mining -

mianite configs - adds noticeable mianite objects ex. sugar of ianite -

mine chem - chemistry and physics -

mine menu - key bindings, commands, and creative functions -

morph - allows you to morph into anything you have killed -

natura - interesting world gen -

nei - allows for viewing of recipes for all items -

nei addons - adds item viewing controls -

nei integration - mod recipes -

nether ores - adds many different ores to the nether -

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 -

open computers - adds programmable, modular and persistent computers to the game -

open mods lib - library for all "open" mods -

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 -

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.

TC Smeltery

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.

TF Portal

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.