I have an HP photosmart M527
it has a 2 inch LCD, 6.0 megapixels, 3x zoom
I like this camera because it has lots of modes to change the shots, for bright, night, snow/beach, macro, fast shot, and some other ones, I haven't really explored too much.
It's small enough to take anywhere, it takes double AA's, it has video with sound, but you can't hear it on the playback on the camera, only when you get it loaded onto the comp.
You can change the quality of the picture before you take it, so if you're taking a pic for say, pets.ca, you can lower the pixels beforehand and no mucking about trying to resize, afterwards when it's uploaded.
I really have no complaints, it's not the most amazing camera, but it's perfect for a start.