Switzerland has an obligatory base insurance system where all companies have to legally have the same conditions. You can vary some parameters such as the deductable limit, etc. In any case they reimburse (once your yearly deductable is reached) 90% of the costs. Then there are optional extra insurance you can add on (such as private/semi-private hospital room, access to private clinics, alternative medicine, etc). Dental treatment though is usually not covered except in particular cases.
I find the quality quite good and there are different types of facitities availiable depending on your needs: independent doctors, private & government hospitals, private clinics and "permanences" (which is a group of doctors, sort of like a mini hospital, where you can go and wait to see someone with or without an appointment. You usually have access to all of those for doctor consultations with the base insurance; for surgeries/hospitalizations though it will depend on if and which extras you have.
Wait times depend on which Dr. you have (e.g. a famous Dr. has longer wait times), which specialzation they have (my dermatologist for example has a wait time of 2-6 months for non urgent needs but my son's dermatologist is about two weeks), what you need to see them for, etc. A family/generalist Dr. can see you usually, depending on the urgency, anywhere within a couple hours up to two weeks. Again it depends on why you need to see them, you can always go to a permanance if you want something quicker though.
I hope that helps