According to some sources at the MINI plant (via MINI2) Aisin will be the supplier of the 2005 MINI Cooper S automatic transmission. You can read the discussion here.

It looks like the unit that the MINI may be getting is the 6-speed TF-60SN or the TF-80SC. Interestingly the TF-60SN is described by Aisin as being the world's first front wheel drive 6-speed automatic transmission.