Great list. I would also say most RPGs, if they're any good, will give you the choice -- Mass Effect, Skyrim, Pillars of Eternity, the Divinity games, etc.

Lots of adventure games as well -- The Longest Journey/Dreamfall games, Life is Strange, Whispers of a Machine, etc.

Honestly, the number of games where you're trapped playing a lantern-jawed, grunty doofus is way, way less overwhelming than it used to be, which I really appreciate.