It's really hard for me to be mad at some of them because they're visually appealing. Also, it's not their fault that stupid humans introduced them to the environment in the first place.
Best to try to contain them, though. I imagine that Native American Indians wish they could have contained the original invasive species to this continent!
Plants - Scotch Broom: Highly flammable, hard to kill and thrives in all conditions.
Animals - Flatlanders" Explode with anger (especially when driving), whine about everything, can't thrive anywhere. {"it's too dry", "it's too wet", "there're too many trees in the forest", "We need more shopping malls", "my neighbors chickens wont shutup" ... wah, wah, wah!. }
Japanese knot weed....you can't sell you home if you or you neighbours has its..... If you do nothing about it the government prosecutes you...:( Its in various properties in London...it's also now in many parts of England as well... It was brought into the country by very careless horticulturalist that let it grow wild and get out if control.....
Fennel is a Mediterranean native that has become invasive in the Bay Area. Eucalyptus trees are Australian natives that grow throughout coastal California. Not only are they invasive, they're also highly flammable.
And we are overrun with squirrels. They are actually native, but we've killed their natural predators, which means they multiply at an alarming rate.