oh, and another fave problem is the fuel and temp gauges - they like to stop working and can be a pain in the arse to cure
if the speedo fails, check the fuse as its driven off a transducer fitted to the diff.
the rev counters like to vary their readings depending on what day it is too.
the gearboxes on the Sport model are close ratio - check for notchiness, but as with all bmw boxes, they wear very little and are a good box.
the rear diff can whine after high miles - but this is mainly down to lack of maintenance and abuse