Sorry, I failed to count the numbers that were both across and down, so there's actually 88 words on this crossword puzzle. Right now, I've managed to get nearly half of them. Not bad, but the ones left to go are really tricky. I'll keep trying, though.

Edit (12/22): I have now gotten 50 words. Having so many letters filled in for many of the ones I've yet to get should make it a little easier, but I seriously doubt I'll be getting much more. Heck, some words are missing only one letter, and I still can't figure them out. Though you have to admit, for someone who doesn't do crossword puzzles very often, I've done pretty good so far.
Edit (12/23): Managed to figure out one of the big words, which allowed me to get a few smaller ones as well. I'm now up to 59 out of 88. My brother says he had solved the whole thing, thanks to Google searches, but I won't do that; it feels like cheating, to me.