The Canon Esprit (Prima Mini) works perfectly. It features a 32mm 3.5 lens and a built in flash. The flash can be disabled on the camera, this is a great feature that many compact cameras miss!
The size of the Canon Esprit (Prima Mini) is perfect for me (it's slightly bigger than the Olympus Mju II) and thanks to its lens design (it is covered by a UV filter front element) you can put it in your pocket and it will be protected.
Comes with the case.