Canon is what I recommend most: their cameras have that nifty "Panoramic Stitch Mode" that allows you to take great (what else?) PANORAMIC shots. I am especially enamored of the flip-out viewfinder that is on some of the cameras (the G1-6, e.g., the A80, A85, A90. A95, and the Powershot Pro 1, I think), as it allows you to get overhead and underneath shots without climbing or crawling.
PHOTO OF VIEWFINDER:
They also have built-in modes available on some models, such as Sepia, B/W, enhanced color, muted color, and more. Of course, you can change the ISO speed, shutter speed, and F-stop on all the models I've seen, which is not to say that the cheapest models have these features.
You need to consider important things like what kind of memory comes with the camera. A 16 MB card is next to useless, unless you're just shooting 640x480 for the web (which is all some people need, but not me). If you're going to print, you can do a decent 8"x10" with only 2 megapixels, but I think you need at least 3.2. And again, if you're not doing fancy printing, 3.2 megapixels is more than ample resolution for 99% of people.
Another thing to consider is the power source. Don't buy something that takes A batteries unless you are going to use rechargeables. Does the camera have an AV adapter, so you can charge its battery? That's a good thing, but not mandatory. I myself would not buy a camera that didn't allow me to recharge the battery, but that's just me.
A good place to start is eBay: look for a reputable dealer with high customer satisfaction. Be sure check out the packages: you can often get amazing deals that include extra memory, a card reader, tripods, camera case, and more. But be sure to notice the shipping costs: they fluctuate wildly. You can avoid paying sales tax at eBay and other online dealers. Check out MySimon.com, Amazon (free shipping), and then PriceGrabber.com for comparison shopping.
Besides Canon, I recommend Olympus cameras, too. Both brands have pretty high customer satisfaction and ratings. But only Canon has those flip-out viewfinders.
Once you get an idea of a few models that interest you, go to DPReview.com (Digital Photography Review) and do comparison charts. You can also go to Cnet.com for recommendations.
I have owned a Canon G1, an A85, and a Powershot Pro 1. All have been wonderful (and all have the swing-out viewfinder). I've also owned two FujiFilm digital cameras, and liked them both. I had a Kodak and sent it back: just like the goldish film, the colors sucked. (We only use FujiFilm in our SLR.)
List #1 at eBay: filtered for Canon + Buy Now + New/Never Opened + U.S. Only + 3.0-3.9 Megapixels + Sorted by Lowest Price First. (Compare shipping costs on preferred models.)
List #1 at eBay: filtered for Olympus + Buy Now + New/Never Opened + U.S. Only + 3.0-3.9 Megapixels + Sorted by Lowest Price First. (Compare shipping costs on preferred models.)
A85 for under $200 (Highly recommended)
And another
A95: brand new.
Hope that helps a little. You can find extra memory pretty darn cheap these days, and you'll need it with most cameras.

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