I went a couple of years ago and we managed to meet Winter while she wasn't wearing her prosthetic, and we even got our picture taken with the actual prosthetic. There are other animals to look at, including other dolphins, turtles, and stingrays (which you get to "pet").
We also went on one of their boat rides, which teaches you about what Clearwater Marine Aquarium does, informs you about the marine wildlife in the area, offers you a chance to see dolphins in "the wild" (it's not really the wild when you can see Hulk Hogan's house on the beach), and has a stop on a tiny island to collect a few shells.
It was very informative and fun! Good for all ages.
Things have definitely changed since I went. I had gone two weeks before the movie aired in theatres, and you could tell they hadn't been prepared for such an influx of new tourists. Things are probably much better, and you probably won't have to park on the grass, like we did.
I should also mention, this isn't like Seaworld at all. Clearwater Marine Aquarium takes animals from the wild in order to bring them back to health and release them. Winter can never be released, because she would be unable to survive on her own. But I'm just saying, don't expect amazing shows like Seaworld does. This place promotes protecting the wilderness rather than keeping marine animals in captivity.