There are many different kind of clinics but I'll name a few.
1. Abortion clinics (Pretty popular these days)
2. Psychological clinics
3. Fertility Clinics
4. Sexual Relations clinics.
5. Nursing Clinics (these are commonly seen)
6. Geriatric clinics (For old people)
These are the only ones I've read about or seen. It's very likely that there are more than this.