Number of foreign fish species introduced to each continent
Source: Welcomme 1988
There is actually some anecdotal information from ancient times about how they stocked carp and goldfish. From this graph it appears that fish introductions actually peaked worldwide in the 1960s. Either they ran out of new species to stock or they were happy with what they have. Recent introductions mostly for a human food source now seem to be a lot of clams, mussels, and crustaceans such as shrimp and crayfish.