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You have to add them manually, either by url or with the built in search. For example, you can add newpipe by searching sources and checking github as a source to search. It will then show you repos that match newpipe, which usually is the regular newpipe repo and then a bunch of forks of it.
Obtainium isn’t for finding FOSS apps, it’s for installing them. To find them, you can check out existing repos such as f-droid or izzy, or you can ask around. This post has a bunch of recommendations in the replies
Going to submit my probably-not-a-puzzle-game-game: rhythm games. The game tells you exactly what to press and when you’re supposed to press it, it’s just up to you to actually press the buttons. See: DDR, Rhythm Doctor.
Note that there are rhythm games that have more decision making like crypt of the necrodancer (rhythm roguelike)