Overwatch: Blizzard (Warcraft, Diablo) does an FPS. Specifically, it's a clone of Team Fortress, multiplayer only, where you participate in a 6 vs 6 team match around a more a less standard set of objectives (no deathmatch, though). There are a lot of classes with unique abilities and you can freely switch classes throughout the game. All classes and abilities are available from the start, the only unlockable things are cosmetics (skins, sprays, etc.)

The game is moderately fast and relies on tactical positioning and finding counters to the opponents' team (that's why you change classes in the middle of the game). Teamwork is quite important, but if you're playing in a pug, well, that works in the usual way :-/

Recommended if you play FPSes.

ETA: Recommendation confirmed by Elon Musk :-D

I've only played about 12 hours, but the Total War: Warhammer crossover is very enjoyable so far. It's the first Total War game I've played since Medieval 1, but it still feels familiar enough while introducing interesting new elements and atmosphere via the Warhammer fantasy setting. On the downside, some of the UI elements are a bit fiddly or obscure, and there are a lot of features to take in when you're first getting started.

For those unfamiliar:

Warhammer = Pretty standard late-medieval fantasy setting with humans, dwarfs, elves (not in this first release), undead, etc, but with more grimdark/heavy metal, and a touch of steampunk.

Total War = Strategy games where you alternate between building and moving armies around on a turn-based strategic map, and playing real-time tactical battles that are unusually realistic and slow-paced compared to the typical hyperactive RTS.