I assumed all of the classes from the PHB would be in a 5e game.

My greatest wish is to play a Tabaxi monk. Besides being amazingly cool-looking and exotic in origin, they can climb and use claws for slashing damage. As for modeling, tails are already in and horns are similar to ears up there. Anyhow, monks are pretty great in 5e, but only if you build them right. The Way of the Four Elements is a little broken at the moment. Barring wicked cool cats, I'd go for a good dwarven drunken master.