Have you tried deleting the cigen.package in you Sims 2 folder? It's a body shop file that will regenerate when you start up body shop.
I tried that the first time around. Got rid of cigen.package, and the two .cache files, but that, along with restarting the computer did nothing. I eventually had to reinstall.
Are you using the bodyshop exe for AL? If so, try running BS in a 'clean' install of the game, no CC. (Rename your 'Sims 2' folder to 'Sims 2 main' and running the game to generate a new install) Seriously, my BS is open and running within 3-5 minutes of clicking the exe and I have some clothing unlockers and a few bits of clothing meshes in there.
Tried that the first time too, and when I reinstalled I waited to put my CC back. After about the 3rd-4th time of running BS, I got the message saying it stopped responding. Just did my 4th reinstall last night. I'm getting used to it by now, it's just really irritating to have to do this every few days & have no clue what's wrong.
I don't know if this will help, but I'm running Vista with a 2.0Ghz processor & 1 gig of ram. We're working on updating the computer, but don't have the $$ at this point.