Races

• Human

  Warrior, Paladin, Hunter, Rogue, Priest, Mage, Warlock

  Alliance

• Dwarf

  Warrior, Paladin, Hunter, Rogue, Priest, Shaman

  Alliance

• Night Elf

  Warrior, Hunter, Rogue, Priest, Druid

  Alliance

• Gnome

  Warrior, Rogue, Priest, Mage, Warlock

  Alliance

• High Order Skyborne

  Warrior, Hunter, Rogue, Mage, Druid

  Alliance

• Orc

  Warrior, Hunter, Rogue, Shaman, Mage, Warlock

  Horde

• Undead

  Warrior, Paladin, Rogue, Priest, Mage, Warlock

  Horde

• Tauren

  Warrior, Hunter, Shaman, Druid

  Horde

• Troll

  Warrior, Hunter, Rogue, Priest, Shaman, Mage, Warlock

  Horde

• Windshaper Skyborne

  Warrior, Hunter, Rogue, Shaman, Druid

  Horde

From the Forever client, build 1.60.1.70630.
Client tables: ChrRaces, CharBaseInfo, ChrClasses, FactionTemplate, FactionGroup.