List of Species and Number of Countries into Which They Have Been Introduced
•Xiphophorus helleri 11
•Procambarus clarkii  11
•Oreochromis aureus 17
•Poecilia reticulata 24
•Salmo trutta 29
•Hypophthalmichthys molitrix 38
•Ctenopharyngodon idella 49
•Micropterus salmoides 49
•Cyprinus carpio 59
•Oreochromis mossambicus 66
•Oncorhynchus mykiss 82
Source: Welcomme 1988
Here are some selected species and the number of countries into which they have been introduced. The second name on the list is a North American crayfish that has been introduced in Europe and causing problems there.  Introductions are a two-way street. Largemouth bass have been intentionally introduced in Asia and are viewed like we view the common carp here. I believe also that the Caspian Sea is home to many North American species, but they are mostly from ballast water.