What I'm looking for is some sort of macro-recorder (though that term seems to be hijacked now my macro-photography apps).
I'd like to record a set of presses (specifically, beating a level in a game), and then have those repeated for me so I can accumulate in-game currency without wasting my time or a ton of money.
I imagine there would be other practical uses as well, but I'm not finding anything to do this in Google Play.
MacroDroid and Tasker both looked promising, but you can only assign predefined actions to predefined events - not a set of touches.