New race/class combinations will be available in the Dragonflight pre-patch tomorrow.
All races will be able to roll Mages, Priests, and Rogues, which accounts for a total of 8 new combinations:
Highmountain Tauren Mage
Highmountain Tauren Priest
Highmountain Tauren Rogue
Lightforged Draenei Rogue
Here is a useful cross-tab with all the available race/class combos created by spreadsheetdoode.