There are quite a few, as listed in another comment here. I’ve been using backloggd for years now and love using it!
Commenting so I can come back to this later with the site, I can’t recall the name at the moment
https://gamefaqs.gamespot.com/boards/189706-nintendo-switch/79890338
I used Backlogery, but Backloggd seems to be more popular nowadays. That forum discussion mentions a few others, too.
If you play retro games, then you could also look into RetroAchievements, which will track more than when you simply beat a game. Unfortunately, it doesn’t work for all games though.
For more modern games, you could also use Achievements to track what you beat.
As for keeping track of what games you WANT to play… it’s called buying them! Don’t buy games you don’t want to play, haha
Seriously though, you could go through your Steam library and add games you want to play to a playlist, or sell physical games you wanted to support but don’t want to play.
But for multi-platform stuff, check out the linked forum post
Shame there isn’t an ActivityPub/Fediverse option…
I use https://www.criticker.com/ for movies because it has a really nice recommendation algorithm based on your personal scores. They also have a section for rating games but I haven’t tried that part