Blue Heaven is great for breakfast, and lunch as well! There was a French croissant place on Duval where we ate a delicious breakfast too (possibly called Croissants de France or something to that effect)
For low key lunches, we liked B.O.'s Fishwagon and Schooner Wharf Bar (fish sandwiches, soft shell crab sandwiches, etc.).
We had great dinners at Michael's, Nine-One-Five, Seven Fish, and Santiago's Bodega. We also had really late dinner reservations one night, so we had early apps and drinks at Antonia's, which were delicious.
Late one night, we had dessert at Better than Sex, which I highly recommend.
For bars, we loved The Porch Wine and Craft Beer bar and Vino's Wine Bar.