If Peach can't do it, then neither can I. Peach... what's the verdict?
Ok, the verdict is in. I can do it.

With a little help from my friends...
I'm done. I got stuck on the ninja and received help on that one, but I'm certain I
should have had it. I went through a whole list of ninja terms, and somehow didn't get the answer, I suspect because of an unfortunate typo when I put in that particular answer.
MolGen was kind enough to steer me in the right direction on the one that used to be Chasm #1 and is now Chasm #5 (the binary number, matrix-looking one). I should have held out on that one, though, as I should have figured it out and wish I had done it on my own.
I also received a hint from Mr. I on the snake one, because, quite frankly, I couldn't handle looking at any more snake pictures. Have I mentioned that I hate snakes?
The rest were completed solely through my own efforts with Google as my best friend. So, there. I'm finished, and I hope to god they don't post another challenge any time soon, as I'd like to resume my regularly scheduled life now.
Edit: By the way, I went back and looked at Burning Bridges again, and the order of those six has changed too. Go figure...
Edit #2: Now pass the fucking bottle, AKAK!