I could also count idle clickers like Cookie Clicker, which are all about letting a number increase. The only thing that could resemble failure in such a game would be something like getting a negative result from a wrath cookie, but there's still the difference between different successes, ...
There is, of course, rather a lot of clicking, and your clicker finger is going to get a bit of a workout, especially once you discover it can be fairly easy to stun-lock larger bosses by treating their faces like a set of bongo drums in mid-air. The only other potential issue is...