This probably would never have occured to me and their may already be some out there, but one of Canon's new point and shoots doesn't have a veiwfinder. Just a big-ass LCD screen.
When I shoot with my point-and-shoot I rarely use the viewfinder, but I also don't use the screen. Opting instead for a more zen style where I point the camera in the general direction and pull the trigger.
Generally, I'm not that big a fan of the LCD screens becuase of the battery draw, but it's very nice to have the ability to see exactly what the compisition looks like when you do use it.