The spiritual successor to the 1981 classic “Lock ‘N’ Chase” (which I thought was only an Intellivision title, but was apparently released on a raft of systems), “Cops N Robbers” take the dot collecting to new heights.
The maps are the most striking thing about the game to me. I don’t recall any version of Pac Man where you have to commit yourself to navigating down a spiral, for example, with retracing your steps the only way back out. Lock ‘N’ Chase, of course, was inspired by Pac Man, but I think Lock ‘N’ Chase and “Cops N Robbers” are onto something with their motif which (frankly) makes more sense. It’s worth $1 for the innovative maps alone.
Here’s what the developer (Aeternus Studios) has to say about the game:
“Cops N Robbers is a throw back to the classic arcade style that we all love. Get all the coins without getting busted by the cops!”
Here’s Lock ‘N’ Chase for reference:
Writings of Mass Deduction 
I forgot about Lock n Chase when I trialed this game. Thanks for the reminder. I’ll have to go back and visit this game again. Although I haven’t had much time on the Xbox these days.