It’s a different game, you’re thinking of the sequel MoH: Allied Assault

Exanima Unique physics-based isometric dungeon crawler also featuring an arena career mode.
Moddable.
Really slow development cycle, though.

Severed Steel Futuristic 3D shooter with maybe the best movement system I’ve tried, with wall running, full 360 air movement, sliding and more.
Weapons have only one magazine, so you’re constantly sourcing them from your enemies while blasting holes into the fully destructible levels.
Very replayable.

No thanks: TV too high…

Yeah, wtf, asking for story yet missing the point in Doom which has the simplest story of them all: demons are bad and you need to kill them to save humanity.

I can’t really help with the topic since I don’t care for story in my shooty-shooty boom booms and prefer to get into action as soon as possible and keep at it, but I guess the Far Cry series has some story in it. Maybe skip the first one since controller support might be iffy. Also Crysis, don’t know about the latter ones but first one is great until a certain point after which it’s okay.