I've found that often when "aa.com" is closed for maintenance, you can still get through to "americanair.com"
One problem I have with AA.com is that I can never get through to their "gates and times" feature. The page never fully loads. I used to have the same problem with Continental's site.
The seat selecter feature at AA.com has a few quirks to it. My browser normally has no problem with java, but I have to load the non-java version with the AA seat maps. Also, once I've selected seats for all the segments of my trip, I have to go back to the first one to confirm the last one.
Anyway, aa.com has some handy features, and in general I'm fairly pleased.