Five pages of parrots "and their allies" in the Sibley bird guide -- almost all "introduced" species, though many have established themselves in the wild in FL and CA.
One way to narrow it down is to look at the tail: if it is long and pointed, then its some kind of parakeet (or, very unlikely, a cockatoo). Now you're down to three pages. In Florida, check out the budgerigars -- "budgies," widely sold as pets and seen in large numbers in the wild. They have a long thin yellow stripe the entire length of their wings and a really "flat" face (the beak does not protrude much).