Berkeley may not have a medical school, but but it has joint degrees and many research connections with UCSF (a top 5 medical school).
Even though I'm going to Michigan Law, I have to admit it's slipped behind NYU, in terms of faculty and student quality (its storied history means a bit of a lag in reputation). It's also been behind HYSCC for a while. However, I'd say it's still a bit above Berkeley and Penn (but within the same tier, as it is with UVA), whatever the current rankings say. Northwestern is a tier below.
But yes, Michigan rocks at pretty much everything:
United States National Research Council Rankings - Wikipedia, the free encyclopedia