I was thinking about this today, since I'm close to finishing the game I'm currently playing. I think this year will end up being 4 games for me, though they're JRPGs so it takes me a while longer (and I usually try to 100% games I like)
Finish can also just mean play until you're satisfied too. So maybe a better question is how many games do you usually play each year?
As far as online games go, I'm also playing Splatoon 3 and Overwatch 2
Finish? Almost none, even games that I'm really liking I start getting squirrely about playing them the closer I get to the finish. I really liked FF7R but stopped a little bit past the plate section, I really liked Prey but I never touched the DLC or explored alternate endings, etc. I guess I would say I play about one new game per month until I lose interest.
Almost all of my game time is spent playing a dozen or so games that have mods for days and can be played forever without beating them - Rimworld, Workers and Resources, and Skyrim all jump to mind. When I was a kid my top games were Starcraft: Brood War and Jedi Knight: Jedi Outcast/Academy, but the custom game/mod scenes for those two kind of died out so I finally ran out of stuff to do.