Basilico on 36th street, just on the northside of the airport has excellent italian cuisine. Il Forno, on 25th street also has excellent italian food. Los Parilleros in 41street out west of the airport and they have excellent Argentenian fare.
Depending on time of day, Michael's Genuine is a 15 minute cab ride from the Sheraton and it's one of Miami's best restaurants.
If you want cuban - - - there are a million and one cuban restaurants within minutes from MIA that will serve you a good meal and Versailles - - - a landmark cuban restaurant is probably a 10 - 15 minute cab ride from the airport area....
You have options....
Ft. Pierce, FL