Cop RP is boring only for Cops who do not know how to use their imagination.
1. Dance with a bunch of other Cops in front of LSPD, FRAPS it, and put Careless Whisper (George Michaels / WHAM cover) as the background music. (I've always wanted to do this)
2. RP a Donut-Selling Cop (the SAPD Version of a Pancake-Selling Fed).
3. Start a party at the ARPD Bar and get drunk with everyone else.
4. Run around yelling "I am Police Man" until [XU] sues you for overusing their catchphrase.
5. Constantly talk about Donuts on the Police Radio to the point where all other Cops get hungry.