I have been using the Olympus Tough series camera for a while now and highly recommend them. (A few other companies are now making similar models) The camera produces great quality shots for a point and shoot and lot's of features including video with sound.
The main advantage over all other cameras is that these suckers are waterproof (10 or 33 feet depending on model) shockproof, sand proof, crushproof, and freeze proof. So I never worry about dropping it or roughing it up. I have taken awesome underwater shots at the pool, skiing shots at the resort, beach shots in the surf, etc. It's the only camera I feel comfortable taking to the indoor water park every year.
I have also used it as a Hero camera, mounting it to the side of my car for cool shots and taking it down rapids while tubing in the islands.
The limitation is zoom, which on most small P&S cameras is only 3 or 5 optical. When my daughter is up on stage, I go for the 300mm Nikon.