I found Bok Gardens to be the most restful and calming experience I ever had. I just sat on a bench under a huge live oak and within minutes I fell asleep. That was probably 10 years ago, but I'm sure it is still nice.
When it comes to taking advantage of trips, I have been to every theme park in the area. Uni, SeaWorld, some that no longer exist like Cypress Gardens, (now LEGOLAND), day tripped to Tampa and Sunken Gardens in St. Petersburg. Drove on the newish Sunshine Bridge. Went to the north and visited Silver Springs and the glass bottom boats therein. Made an overnight trip, down through the Keys to Key West, Went over to the Kennedy Space Ctr. and nearby Cocoa beach. Gaterland, a few flea markets, a number of really nice mini golf courses and many nice restaurants on 192 and International Drive that was easier on my wallet. Even rode in a helicopter over WDW and parts of Universal which is very impressive from above. Sometimes I just rode around exploring the area and soaking in the local flavors. After 35 active years starting from 1983, I suspect I have wandered around to quite a few places that my memory hasn't retained. I stayed offsite and spent no more than half my time in the parks. I am one that had many more relax and recouperation than most of tourists. The longest I ever stayed in the area is two weeks and the most number of days that I went to WDW was 5 days in any one trip. There was so much else to see. Don't forget the orange groves and the tours of the places where Orange Juice is processed and contained.