I second the recommendation for Colleen, based on hearsay alone - I have several friends who have birthed with her. If you're going to birth in a hospital, she's supposed to be the best in town for low-intervention hospital births. Even the home birth midwives recommend her.
Lakewood is supposed to be best for waterbirths, and SJWS is also supposed to be fairly low-intervention. I've toured L&D at Fairview and Marymount and found both to be pretty scary for my tastes. Very high c-section and epidural rates at Fairview, and what I perceived as an assembly-line approach to birthing. C-section and epi rates were quite low at Marymount but they have other policies that make me nervous - they routinely separate mothers & babies right after birth, for example. I wasn't thrilled with either one, though I think with a good birth plan and a firm doula we could manage if we had to.
As for other hospitals in town: Metro has a low C-section rate, but a friend who used to work in OB there says they're often overcrowded, so you might end up getting rushed through labor in order to free up a bed. Plus, it's a teaching hospital so you might get a lot more traffic through your room than you're comfortable with.
University Hospitals has a good midwifery practice, I hear, and some friends of mine have had excellent natural births there. Geauga Hospital, too. Hillcrest has a particularly bad reputation among the natural-childbirth circles, and based on experiences of my family members I wouldn't recommend them either. Their lactation consultants are supposed to be quite good, however. *shrug*
That's all I know. Based on the information I have about what's available (and what my insurance will cover), I'm planning a home birth!