According to Cornell Lab of Ornithology the top ten groups of invasive birds in North America are the: Number ten, The Egyptian Goose, is originally from the Nile Valley and South Africa. It can now be located in Florida. Number nine, is the Jackdaw. This bird reached North America by way of ship from across Europe and Asia. They can now be found in the Northwestern part of North America. They have also been seen in the area around Atlantic Canada. Flying in at number eight is the Rose Colored Starling, originally from Asia, is harassing the Northeastern portion of the United States. These birds can be very aggressive and destructive. In the seventh spot is the Sacred Ibis. This beautiful, yet destructive bird can be found in Florida. This large predator can totally destroy breeding colonies of the Tern. It was imported from Sahara Desert Africa. Sixth on the list of potentially invasive birds is the Troupial. These are the national bird of Venezuela. They can now be found in the Eastern United States. The Oriel comes from the Troupial family. Troupials can be violent and attack native nesters. Once they take over these territories they defend them fiercely against intruders. The fifth bird is the Village Weaver also known as the Spotted-black Weaver. They live in the North American Desert area and are originally from the Sub-Saharan region. The next bird listed as number four is the Common Mynah bird. This bird was brought from India in 1865. This bird likes open areas around urban areas. You can mostly find this bird in Hawaii and South Florida. Number three, is the Cowbird, this bird is from South America and has spread throughout North America from Texas to North Carolina. The bird has also been spotted in Oklahoma, Maine and other New England states. There could be an argument about the number two most invasive and the number one most invasive bird. Number is two is listed as the Rock Pigeon. This bird is a native of Eurasia but now covers the entire North American continent. The number one nuisance in America is the Crow. This bird breeds in Canada and is found in every state in the United States.
This is a good question. I'll list 10 of the hundreds of bird species that have been introduced to North America and their origins. Then I'll provide links to web sites where you will be able to determine their distributions.
House sparrows and House finches were here by Europeans who were homesick and who thought the birds might control pests. They have thrived here, so much so that they threaten bluebird populations in some areas.
European starlings, according to the Cornell Lab of Ornithology, were first brought here by Shakespeare enthusiasts in the 19th century. (The lab's web site doesn't say why.)
Rock Doves or Rock Pigeons are native to Europe, North Africa, and western Asia. The species was first introduced to North America in 1606.
Sacred Ibis. This African bird was introduced for sale to bird enthusiasts, but has managed to establish a wild population in parts of North America.
Green Parrots were also introduced from South America for sale in pet stores.
Indian peafowl were brought here by travelers who wanted to add an exotic touch to their gardens.
The muscovy duck is a native to Mexico and Central and South America. North American breeders brought it here to add to their domesticated flocks.
Another Mexican native is the spot-breasted oriole. It was brought to North America in the 1940s.
Crested myna, originally from China, were brought to the Vancouver area in the late 1800s for use as caged songbirds. As happens, some birds either escaped or were released and were able to establish colonies in the wild.
I hope this helps.