ArcheCraft Pack

AcademyCraft, version 1.07: AcademyCraft is a mod about superability. Some abilities across the mod's four classes are built for combat, while others are built for peaceful play.
Alfheim, version beta-8: Alfheim is an add-on to Botania. The mod allows you to build a portal to Alfheim, one of the nine worlds of Scandinavian mythology. 
AOBD, version 2.9.2: AOBD, which stands for "Another One Bites the Dust", adds dusts and other materials that allow the ores of many, many mods to be processed by machines such as IndustrialCraft's Macerator.
Applied Energistics 2, version rv2-stable10: Applied Energistics 2 is a mod built around storage. It adds big chests, advanced automation, and even storage that allows you to build whatever you want and condense it into a single block that you can take anywhere that has power and expand it back out. All of this comes at a cost, though, a cost of being late-game.
BiblioCraft, version 1.11.7: BiblioCraft adds 53 blocks and items that store books, armor, weapons, and other such things, in a neat and compact way, alongside some other quality of life improvements.
Blood Magic, version 1.3.3-17: Blood Magic is a mod that adds dangerous and powerful magic to the game.
Botania, version r1.8-249: The focus of the Botania mod is around natural magic, foregoing most GUIs and number displays in the process. It also focuses on creating automation without the need for heavy grinding.
BuildCraft, version 7.1.23: BuildCraft adds machines into the game like quarries and oil refineries, among many other things.
Chisel, version 2.9.5.11: Chisel is a decorative mod that allows you to make carvings out of stone, marble, and other materials.
Cosmetic Armor Reworked, version beta-6: CAR is a mod that allows you to wear two sets of armor - one for function and the other for display.

Custom NPCs, version 1.7.10d: The Custom NPCs mod allows you to create and customize Non-Player Characters (NPCs). The ArcheCraft server uses the mod to manage inter-player mail, perform the functions of a community center (it's kinda like a public spawn area), among a few other things. The possibilities are quite massive to those that can understand how the mod's system works.

Dense Ores, version 1.6.2: The Dense Ores mod adds "Dense" ore blocks that yield more than your standard block of ore. The yield and spawn amounts can be changed in the mod's configuration file.

Ender Storage, version 1.4.7.37: Ender Storage replaces the vanilla Ender Chest with one that can be connected using color codes. You can have multiple different sets of Ender Chests with this mod. It also adds a Ender Pouch, which acts as a mobile Ender Chest. This pouch also uses the same color code system that the Ender Chests use.

Extra TiC, version 1.4.6: Extra TiC adds more tool and weapon materials for Tinker's Construct, adding support to several mods.
Extra Utilities, version 1.2.12: Extra Utilities adds a bunch of little quality of life improvements to the game.

Forbidden Magic, version 0.575: Forbidden Magic is a small add-on for Thaumcraft. It adds five new wand cores, a few mod-integrating blocks and items, and a craftable spawner that works without players nearby.

Fossils, version 7.2.1: The Fossils and Archeology Revival mod adds dinosaurs that you can bring back to life, many prehistoric creatures like mammoths and dodos, and an archaeological aspect in the mod as well.

Grimoire of Alice, version 4.0.0: Grimoire of Alice brings items and blocks from the Touhou series into Minecraft.

Grimoire of Gaia 3, version 1.2.7: Grimoire of Gaia 3 adds a number of mobs that make the game harder.

IndustrialCraft 2, version 2.2.827-experimental: IndustrialCraft, like BuildCraft, is one of the major mods of the Minecraft modding scene. It has been around since the days of Beta, and wholly focuses on technology. You can double your ingots using the Macerator, fly with a jetpack, or many other possibilities. You can even build a nuclear reactor - just don't let it meltdown.

Inventory Tweaks, version 1.59-152: Inventory Tweaks adds some quality-of-life enhancements to the game relating to chests and other inventories.

Iron Backpacks, version 1.2.20: Iron Backpacks introduces backpacks to the game. There are four levels of backpacks (Leather, Iron, Gold, and Diamond) and there are also upgrades that you can apply to the backpacks.

Iron Chests, version 6.0.62.742: Iron Chests adds bigger and better chests, the highest level of chest being the Crystal Chest, at which you can actually see the items that are stored in the chest floating around within the chest's model.

JourneyMap, version 5.1.4p1: JourneyMap adds a minimap to the HUD, and you can set waypoints on that minimap and see them in the world.

Logistics Pipes, version 0.9.3.132: Logistics Pipes adds routing pipes built into BuildCraft's piping network that will logistically sort your stuff, process your stuff, and work with other mods.

Metallurgy, version 4.0.6.80: Metallurgy adds lots of new ores and metals into the game.

MineFactory Reloaded, version 2.8.1-174: MineFactory Reloaded adds plenty of automation and redstone contraptions into the game. The mod aims to "automate a number of tasks that previously would be difficult, boring, or work-intensive".

More Player Models, version 1.7.10b: More Player Models adds a screen that allows you to change the look of your player model, and even allows you to change your player model into any mob.

Morph, version beta-0.9.3 (Not used on ArcheCraft): The Morph mod allows you to morph into any mob. Note that if you are using OptiFine, you should disable the mod, as they are known to be incompatible and will cause crashes when both are being used at the same time.

Mr. Crayfish's Furniture Mod, version 3.4.7: The Furniture Mod adds custom-modeled furniture that you can sit in.

NEI, version 1.0.5.120: NEI is the mod that shows you the crafting recipes for all the blocks and items in the game, including modded blocks and items.

OpenBlocks, version 1.6: OpenBlocks adds various blocks and items.

ShinColle, version rv26.2: The ShinColle mod adds shipgirls ala the ones from Kancolle. They can be used against mobs, other players, and other shipgirls.
TreeCapitator, version 2.0.4: This mod adds the ability to chop down a whole tree by using the correct tool on the bottom log block. Of course, the same amount of durability is used to chop down the tree at once compared to chopping them all down individually.

Tinker's Construct, version 1.8.8: Tinker's Construct adds customizable tools to the game. Each tool has its own ability, and you can customize them however you'd like for the most part.

Thaumcraft, version 4.2.3.5: Thaumcraft is one of the big magic mods for Minecraft. It adds wands, trees, golems, and plenty more!

Thermal Foundation, version 1.2.6-118: Thermal Foundation adds ores relating to Thermal Expansion.

Alice's Dolls, version kog3: Alice's Dolls adds dolls inspired by the ones associated with Alice Margatroid from the Touhou series. 
Note: This mod is not an approved CurseForge mod and as such is not included in the current download. A download can be found at this website: http://forum.minecraftuser.jp/viewtopic.php?f=13&t=832. Click on "TouhouAliceDolls_kog3.zip" and add it to the mods directory in the pack's profile folder ("..." then "Open Folder")

Twilight Forest, version 2.3.7: Twilight Forest adds a dimension that gives the mod its name, and it is filled with hard enemies and even harder dungeons.
WAILA, version 1.5.10 (and WAWLA, version 1.0.5.120): WAILA/WAWLA is the mod that shows you what block you are looking at on the top of your game screen.
Witchery, version 0.24.1: Witchery adds witchcraft and nature magic into the game, along with all the things associated with those two topics.

Flood Lights, version 1.2.8-137: Flood Lights adds in floodlights to the game.

Optifine version HD-U-E7: Optifine allows you to increase the performance of your game. Like Alice's Dolls, OptiFine is not an approved third-party mod, as far as I am aware. A download can be found by simply searching "optifine 1.7.10 HD_U_E7 download" or something along those lines.

Project Red, version 4.7.0-pre-12.95: Project Red is the successor to the RedPower mod. It drastically improves the functionality of redstone.

Advanced Machines, version 59.0.2: Advanced Machines is an add-on to IndustrialCraft 2. It adds more powerful machines into IC2. 

Thermal Expansion, version 4.1.5-248: Thermal Expansion is another tech mod that adds various machines.

Several Thaumcraft add-ons: 

Carpenter's Blocks: CB is a mod that makes new shapes out of existing blocks to add a more customized look to your world.

Draconic Evolution: Draconic Evolution (D.E.) adds several very late-game tools, blocks, etc.

Big Reactors: