Thaumcraft Research Requirements
Feel free to add anything you know. I forgot most of the requirements, but am adding anything I do know

List of Essentia: 
Praecantatio: Carved Sandstone, Greatwood, Shards, Blaze Powder
Ignis: Coal, Lava, Blaze Powder, Anything Cooked
Machina: Redstone
Potentia: Redstone, Coal, Cocoa Beans
Aqua: Lily Pad, Sugarcane
Permutatio: Seeds(any), Eggs (Not to be confused with Mutatio. Permutatio is Exchange, Trade, Barter), Saddle
Mutatio Netherwart (Not to be confused with Permutatio. Mutatio is Flux, Chaos.)
Motus (Rubber [From IC2], Any type of door, Piston), 
Visum (Carrot, Glowstone/dust) 
Imperito (Bronze Ingot, Blue Xycorium, Rubber)
Veneum (Quicksilver, Spider eyes)
Instrumentum (Tools, Flint)
Fabrico (Crafting tables, steel ingots)
Aura (Feathers, Air shards)
Tutanem (Any type of armor, leather)
Magic (Vis Shard, Chiseld Sandstone, a crapton of other stuff)
Tenebris: Obsidian
Carus: Diamond, Gold, Lapis Lazuli
Purus: Diamond, Silverwood
Fungus (Mushroom, Toadstool, Fungi): Mycellium, Mushrooms
Vinculum (Bind, Imprison, Trap): Amber, String
Vitreous (Glass, Cryst

Tier 1: Wand of the Apprentice
Thaumometer: Cognito, Machina, Praecantio?
Nitor: Ignis, Lux, Potentia
Alumentum: Fractus, Ignis, Potentia
Thaumium: Metallum, Praecantatio
Magic Tallow: Corpus, Praecantatio

Transmutations:
Gold: Metallum, Carus, Permutatio
Iron: Metallum, Permutatio
Silver: Mettalum, Permutatio (I think they are same)
Copper: Metallum, Victus, Permutatio
Tin : Metallum , Vitreus, Permutatio
Lead: Metallum, Vacuos, Permutatio
Gunpowder: Fractus, Ignis, Permutatio

Unified Thaumic Field Theory: Praecantio, Mutatio (netherwart), Aura, Cognitio, Ignis, Solum, Aqua.

Tier 2: Wand of the Adept
Warded Jar: Vitreus, Vacuous, Vinculum
Hungry Chest: Motus, Vacuos
Brain In A Jar: Malum, Cognito, more I forgot
Wand of Fire: Ignis, Praecantio, more
Wand of Lightning: Praecantio, Potentia, Telum
Wand of Excavation: Praecantio, Instrumentum
Wand of Equal Trade: Instrumentum, Permutatio
All Golems: Motus, Imperito, Permutatio
Portable Hole: Permutatio, Motus
Basic Flux Research: Mutatio, Purus, Machina, Permutatio, Imperito

Tier 3: Wand of the Thaumaturge - I don't think its researchable 
Praecantio?