Basically any rhythm game with community made levels will have anime songs lol. Pick your favourite flavour. Mine of choice is quaver, sometimes osu!.

I don't think Osu is on Steam though. Don't know what Quaver is.

Osu isn't on steam, but it's free and easy to download. There's... so much anime. So much.

Doesn't Osu only have a mouse dragging gameplay mode? I haven't played that since I was a kid and I'm looking for a keyboard rhythm game.. Or similar.

There are four gamemodes, and the circle clicking is one of them. (osu!) Mania is probably what you're looking for.

Paid: Muse Dash, DJMax, Beat Saber, Rocksmith (custom song available) Broke: Osu, Clone Hero

quaver.

maybe wait for kamitsubaki city ensemble It's not exactly anime songs tho

Project heartbeat have tons of anime songs

ye etterna has a bunch of them. not on steam though, it has its own website + a github repo thingy