as far as rims you are pretty limited on choices...BBS is the largest manufacturer of 3 piece wheels with "rims"....
if you are looking for wheels there is a much LARGER market out there to choose from
sorry im not really this big of an ass im just tired of the missuse of the term Rim
to answer the question, yes, when you go up a wheel size the sidewall of the tire must be shorter to keep the outside diameter of the tire the same as to avoid rubbing and speedometer issues