The Casio EXILIM EX-Z35 is a 12.1 effective megapixel digital camera with a 3x optical zoom lens, and its slim body (0.8 inches at the thinnest point) won't take up much room in a pocket or purse.
Z35
Fujifilm FinePix Z35 / Z37 Camera User's Manual Guide (Owners Instruction)
This 10 megapixel Fujifilm FinePix Z35 / Z37 Digital Compact Camera features all the latest technology; from Face Detection to Automatic Scene Recognition. At a slender 23.9mm thin, the FinePix Z35 / Z37 can be slipped in to your pocket or bag all ready for a night out, and because it comes in five electric shades, you'll be sure to find your favorite color.