These are the alliances in BOTET, what i know:
Doom's Forces:
Beastmen, Chaos Dwarfs, Daemons of Chaos, Dark Elves, Orcs & Goblins, Skaven, Vampire Counts, Warriors of Chaos.
Order's Forces:
Albion, Amazons, Araby, Bretonnia, Cathay, Dwarfs, Empire, Estalia, Halflings, High Elves, Ind, Kislev, Lizardmen, Nippon & Wood Elves.
Gaia or Non-Alligned Forces:
Dogs of War, Fimir, Hobgoblins, Norse, Ogre Kingdoms, Vampire's Coast & Tomb Kings.
You can watch it here too (on top, click on the Army Book's panel, 9th edition, you'll see the armies's distribution)->
http://warhammerarmiesproject.blogspot.com/