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