Hmm...I never thought of it that way. I guess I will keep an open mind about all the other brands. My budget is in the $600-699 range, I hope/think I can find something decent.
It's true - you can go out and buy the two most amazing, top of the line, full-frame, pro-body Nikon and Canon cameras, with top-of-the-line multi-thousand dollar glass, and put them both on the rim of the Grand Canyon, and neither one will take a single photo without a photographer to help!
Honestly, there are great photos out there from every camera brand, as long as it was being wielded by a great photographer...and because there are more Canons, followed by Nikons, it's just more likely that you're going to see shots from those brands than the others. I can tell you I've seen some photos taken with a P&S pocket camera that were better than 1/2 of all DSLR owners' photos...because the photographer behind the camera was brilliant...and most DSLR owners are average folks with little camera experience who bought it hoping it would magically make their photos amazing. Unfortunately, it doesn't - it still requires some photographic skill behind the lens.
Of course, a DSLR is an excellent tool to learn with, because it is capable of a wide range of shots, has excellent controls and abilities, and is fully expandable with a variety of lenses for every need. You can spend more as you get better and feel you can justify the expense!
Your budget should be fine to get you in the door - plenty of entry-level cameras with kit lenses can be found at around $700 or under...I unfortunately don't know off hand what the current sale prices are, but I'd strongly recommend looking at the most recent two models of Canon and Nikon DSLR (both the current entry model and the previous entry model - ie: 600D and 650D, or D3200 and D3100 - the last model can often be found at good closeout prices). Also worth a good look are the innovative Sony SLT models - currently A37 & A57, or previous model A55 - which integrate video capabilities better than DSLRs due to the continuous phase-detect autofocus during video. And from Pentax, the KR will be within your price range as well as possibly the K01, which has an excellent sensor and a mirrorless design. You may also consider the mirrorless line of cameras, which are more compact than DSLRs yet share similar sensor sizes and interchangeable lens capabilities - the Sony NEX line has the same APS-C sensors as most DSLRs do, and the Olympus and Panasonic M4:3 line have a slightly smaller sensor that's still far larger than P&S cameras. All of these are expandable systems, with manual controls, and all capable in a variety of lighting conditions and shooting situations.
You'd be capable of becoming a much better photographer, and of taking gorgeous photos that could be sold or published, with any of these cameras. It's you and your skill level that will limit you or let you soar!