In Florida I have caught (not while fishing):
-Thousands of plecos (vermiculated sailfin and Hypostomus plecostomus)
-Green swordtails
-Mayan cichlids
-Jewel cichlids (not bimaculatus, letourneuxi)
-Black acaras
-Blue tilapia (not an aquarium fish...or legal to transport)
-Walking catfish
-Brown hoplos
-Spotted tilapia (same rules as blue)
-Pike livebearers
and probably some others I forgot. There are even more on the East coast of FL, such as snakeheads, midas cichlids, peacock bass, jaguar cichlids, jack dempseys, oscars, etc...
Florida has the most invasives of any US state I believe.