Bait a wastepaper can. Put it under a counter edge, put a plop of peanut butter or something in the bottom. The mouse jumps in, but can't jump back out.
Some people use beer, and let the mouse drown. I prefer to give them a quick death. Drowning, even in beer, seems a nasty way to go.
There are also traps that are run on batteries. The mousie goes in, hits the switch plate, and electrocutes himself. I had one, and it worked great until the second or third mouse was sizzled. Then the mice avoided it.