What are the highest capacity rechargeable AA batteries on the market?

[neutron star]

I just ordered some Accupower 2900 mAh NiMH AA batteries. They were the highest I could find. Is there anything better out there?

e: And just out of curiosity, how high do non-rechargeable AAs go?

[beowulff]

First, this is not a simple question.
What is important is your particular application. If your battery-powered device is going to have long periods of OFF time, you are probably going to be better off using a battery with less capacity and lower self-discharge, like the Sanyo Eneloops. I've seen NiMH batteries rated as high as 3200 mAH, but I suspect that they are just fakes. I find my best performing batteries to be the 2500 mAH Eneloops.

[aerodave]

AFAIK, Eneloops only come in 2000 mAh for the AA size.

But I will second their recommendation. They're great batteries, and they keep a charge for a long time in storage. I used to be so frustrated with grabbing my second camera once a month or so only to find that the batteries were dead. ("I swear...they were charged last I checked.") The low self-discharge is a terrific feature.

[neutron star]

FWIW, I'm using them in my wireless Xbox 360 controllers, which do get used pretty much every day (if not always by me, then by my roommate), often for several hours a day, so that's why the higher capacity was important in my decision.