Well, although there are several other threads that you can peruse to see people's opinions about this, I'll leave mine.
I own both, and like them both a lot. However, after getting the 2005, I want to trade my 2001 for a 2005 because I like the wide aspect, want my monitors to be the same (it kinda bothers me having one be noticeably taller than the other), and I just like the 2005 better.
Gaming on the 2001 was fun, but I can't compare them as I've only played Resident Evil 4 on my gamecube on the 2005.
I like the 2005 better, but then again, I run the brightness full on (the 2005 is noticeably brighter than the 2001). I have very minor backlight issues that don't bother me at all.
In all honesty, I think most people would prefer the 2001, but I like the 2005 better myself. If I could get a second 2001 in place of my 2005 easier, I'd settle for two of those and not regret it.j
My 2 cents, hope it helps.