I have the Canon G11. It is an amazing camera. It is a bit larger than most “point and shoot” cameras but the image quality is more than worth the extra size. It is only 5x optical zoom, but @aprilsimnel is right, you’re not going to find a point and shoot with 20x.
I am used to using DSLRs and I just wanted something a little smaller for when I don’t want to lug around extra lenses and accessories. This camera is perfect for those times.
I suggest going to a camera store and handling some of the cameras they have in stock.