The Canon A series. I own the A60 (2.0 megapixel, 250 bucks a year ago) and love it, although I wish I'd splurged and payed the extra for the 3.2 megapixel A70. They have a 4.0 mp A80 now; but the cameras all have the same features (besides the resolution).
They do point and shoot well, but they've also got all the manual controls of a regular camera (ISO, shutter speed, and a bunch of other stuff that I don't know what it means) - so if you want to learn photography, they're great. They also have easymode for things like action shots, night, portrait, macro, movies, and even landscape shots up to 360 degrees. They can mount external lenses - unheard of in the small digital camera category. 3x optical zoom and movie mode (with audio - also rare in digital cameras) make it an excellent all-around camera.
The A70 (3.2 megapixel) is $300 in stores now, you can probably find it cheaper if you shop around. If I were buying a camera now, that's what I'd get based on my experience with my A60.