My categories are very similar:
Backlog - Default category for new games unless I start playing them immediately.
Playing - Games I’m actively playing or intend on finishing (Usually between 5 and 10 games).
Eternal - Games with unlimited replay value that never entirely leave my rotation.
Finished - What it says on the tin.
Island of Lost Games - Games I started but bounced off of, or otherwise don’t plan on finishing.
Distant Oasis - Games I started and liked, but didn’t finish for whatever reason. I’d like to return to them but they’re very low priority.
Deep Backlog - Games I haven’t played, and will only play if something in my life changes dramatically. This could also be called the unemployment backlog.
I like the idea of having a shortlist of games I’m excited to start (this exists in my head already) but I worry about upsetting the delicate equilibrium I have going on right now.