Well, it's finally time to ditch the run-flats.
The Mini has stock 195/55/16s...but the Mini forum consensus seems to be 205/50/16. I'm usually a guy that messes with the stock dimensions...but the choices in the stock size seem very limited when you don't want a run-flat.
The Bridgestone Potenza RE760 Sport seems to be well liked. The Toyo Proxes TR1 seem OK too...but the comments on these are from 2006...so maybe that it old tech (relatively speaking).
Man, I'd pay to be able to "test drive" tires. I replaced the tires on my Protege5 based on customer feedback, forums, etc...and I HATE the Michelins I bought...they were WAY too soft on the sidewall. The "replacement promise" offered was intended, I swear it, to just be a huge pain so you eventually give up...which I did.