I love my Sony cybershot. Great photos, panoramics, movies, etc. Just buy an extra battery as one will go down over a period of time even if the camera isn’t turned on.
Any camera from any of the major camera makers is going to take great pictures most of the time. I have a $100 Canon and I am always pleased with the pictures I get out of it. If you just want to take snap shots get a little one you will actually take with you everywhere. More expensive cameras give you more control, but to use the control you have to know what you want to change. If you don't plan on using different shutter speeds and apatures then it probably isn't worth it to get a pro or semi-pro camera just to use it like a point and shoot. If "shutter lag" is an issue, then you will need a something bigger than a typical point and shoot. If you are trying to shoot in low light without flash then you will need a camera with a fast lens, which probably means an interchangable lens system. If you want to shoot stop-action shots on a soccer field and get pix that look like Sports Illustrated, you are going to have to use a higher end SLR. I own about 20 cameras, and countless lenses. Each one is capable of taking great pictures, but isn't always the right tool for every job. Here is a top of the line point and shoot that is carried by a lot of professionals as the back-up, or off duty camera. Of course they want the ability to customize and set things manually. If that's not important to you then you could get something with less dials and knobs that has the same raw image quality for less money. But this camera is one that you will never grow out of.
Canon G12.