TBC Classic is a faithful recreation of the original release of World of Warcraft: The Burning Crusade. Below you can find profession leveling guides for every profession in TBC Classic.
It's currently unclear which recipes will be in phase 1, so some parts might change in the guides once we know more about Blizzard's plan. They already made an exception with Fishing dailies, so some recipes might be available in phase 1 that were not in the game when it launched originally.
Alchemy
Blacksmithing
Enchanting
Engineering
Jewelcrafting
Leatherworking
Tailoring
Herbalism
Mining
Skinning
Cooking
First Aid