Based on your general comments, I'm guessing you do not have much experience with photography, and would best to go with one of the better point and shoot cameras. They are small, easy to use, and take great pictures for most people.
Point and shoot camera run the gamut from $100-$300 and up from there. You will find your search easier if you start by defining a price range. You want to spend $100, $200? 400? This will help narrow the field for you.
Unless you are looking to get a high end point and shoot (over $200), I would say anything from the established manufacturers like Canon, Nikon, Sony, even Kodak would be fine. Once you get into the higher end point and shoot, then there are great models from Canon, Nikon, and Panasonic, and others.
I would look for features that are important to most people, things like rechargeable batteries vs, disposable ones. Longer optical zooms (say in the 5x-10x range).
Look at the physical size of the camera. Does it fit in your pocket or purse (if that is important to you)? How big is the screen on the back? How are the controls to use?
If possible go to the store and check one out in person. Hold it, shoot pictures with it, look at the screen on the back, see how far it can zoom in, etc.
This should help you get started, or at least point you in the right direction.