There are plenty of things to look for in a camera, but it depends on what your be using it for. So what will you be using it for? Just general picture taking? then any decent point and shoot will be good. Amateur photography, then you might want to look into a DSLR, or an SLR Like. The most common things to look for though is MP(more is better, but most people will never need more then 8-10MP), IQ(Image Quality), Zoom(3x, 5x, 12x, etc), ISO performance, ergonomics, is it user friendly. There are plenty more, but unless you want to use it for photography then you probably wouldn't care.
Whats your budget? Also do you want a Small camera, or a DSLR? I'd be happy to help you pick something out.