Sutter Health Primary Care
I have SEBMF (don't love Sutter, but love my primary doc). When I needed a specialist (endocrinologist) I could easily get an appointment at Eden in Castro Valley (I live near Alta Bates), I could not get in to see the group of endocrinologists in Oakland for several months. So that was annoying but it turns out that Eden is a slightly longer drive, but parking is free and easy. So I'm happy. I've been referred to other specialists as well, and it's been relatively painless, even if they aren't Sutter docs (I guess they contract with Sutter). I can't compare to UCSF. Would you have to go over the bridge to be seen for everything? That would be a dealbreaker for me.
Look into Sutter on Milvia in Berkeley. I've never experienced any wait time (over maybe 3 minutes) on the phone for scheduling, and when I've needed urgent nurse or on-call doctor support they do a call back thing generally within 30 minutes. They have great email support for non-urgent things too. I use them for my own OB/GYN & primary care as well as my kids pediatric care.
I've been thinking about that too, as my daughter is getting close to aging out of pediatrics; I had an appointment for myself last week with Dr. Samara Nebenzahl at Sutter on Milvia and thought she would be really good. http://www.sutterhealth.org/dr-samara-nebenzahl.html