Could be a full-on cops and robbers game in the making. Start as a police officer on patrol and you don’t know which house is going to get hit so you drive around the neighborhood at random looking for disturbances. Or perhaps you can set traps by opening the windows of houses to make them more enticing etc and then stake them out.
Someone else starts as a burglar and, depending on how careful they are, they might make it through a few houses without upsetting a dog or setting off an alarm or falling into an entrapment scam, but sooner or later you’re on the run. Inevitably you’ll get caught, so perhaps you could be judged on how much stuff you can stash away in a hiding place before you’re caught?