Here are my fave's
El Puerto-Ybor City Argentinian
Demmis Market on 7th-Ybor City, pizza only, opens at 5pm
Pane Rustica-go for lunch, "rustic Italian"
Laughing Cat-Ybor City Italian
Terra Sur-Carrollwood, Peruvian
Samurai Blue-Ybor City, Sushi
Fly-downtown, pricey but good
Ruth's Chris-chain steakhouse but yummy(& expensive)
I, too, hope that you'll search this board, there are a LOT of recommendations, mostly for the same couple dozen or so places, because, well, they're the best. So, I will list mine in no particular order; some are cheap, some are upscale, and they're all over Tampa. You can then search for their websites and for more reviews here. If you have questions, I'd be happy to try to answer.
The Ravioli Company
Tampa Taco Bus
Mad Dogs and Englishmen
Gelateria del Duomo (gelato only)
There are many others... but those are my top pics, for every day eatin', for special occasions, and for visitors.