In reply to AdCo82:
My Olympus TG1 fits your requirements perfectly. It's exceptional that I even pick up my DSLR since I got it. It's waterproof, shockproof, freezeproof, takes great photos and has tap controls so you can use it with mitts on. Oh and the battery lasts ages - I bought a spare for about a fiver, but never come close to needing it even on a month long tour of NZ when I took about 800 photos.
There is now a slightly improved TG2 as well. Genuinely one of the best things I've ever bought.