We don't get cockroaches here, but we do get vast plagues of slugs in the garden, and sometimes find them gliding around the kitchen surfaces. We also get a lot of spiders in the house, and ground beetles (Broscus cephalotes) that scuttle around the floor in search of prey. Waggy likes the ground beetles, since they're energetic and tough, so she can keep chasing them, pawing at them, picking them up with her mouth and dropping them for 10 minutes or more without them being harmed, while more fragile things like spiders get squished right away and stop being fun. She doesn't bother with the slugs, since they're too slow to be interesting and they have thick, bitter mucus, though she eats snails sometimes (and probably gets nasty parasites from them, but she has a monthly worming treatment that will help a bit).