House Sparrows are invasive in the United States and they are very aggressive. They destroy the nests of native birds to eliminate competition.
Reminds me of this guy, who thought it would be a good idea to introduce the birds in Shakespeare's plays to the US.
Herons are already capable of traversing entire continents, as can be seen with Night Herons. Cattle Egrets just didn’t really have a reason to expand until recently.