Is there a way to record and playback a set of touches? 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.
I've developed such an app called RepetiTouch. It's currently in beta stage and aimed at developers, but a limited free version is available here. However, it needs a rooted device running Android 2.3 or later.

As far as I know, currently no other app with this functionality exists, but there are some tools/scripts providing such features using a computer and an USB connection, e.g., here.

Anyway, I discourage any use of any such apps or tools for farming.