I visited
Coral Castle years ago and have been meaning to go back to see if they've commercialized it and to what extent. I found it fascinating and it's not "touristy" (at least back then) and their website doesn't seem like they've overdone it. I can't see them getting that level of traffic anyway. It's a very different type of thing to see.
28655 South Dixie Highway
Homestead, FL 33033
(305) 248-6345
Just 31 miles south of the Miami International Airport
Other than that, it's really a matter of what you're looking for ... like to shop? there is the Sawgrass Mills, a huge outlet mall. Want to see the beach, there are plenty of options. Topekeegee-Yugnee Park is in Hallandale/Hollywood area and has a lot of boats and other things to do in the park.
Not sure how long you're staying, how far you want to drive and what you're looking for. Once you get out of the tourist places (and my apologies to you Floridians), Florida can be a boring kinda place.