I don’t mind the Asian House Geckos as they keep the spider population down in the house but I would be happy to lose the cockroaches.
The White Leaden tree known locally as Coffee Bush is something I will not tolerate in my garden as they are extremely difficult to pull out after a certain height and they spread.
Cane toads ate relatively recent ie in the past 5 years and one of the reasons we have a wander around at night to check for critters before we let the dogs out for a pee before bed. One of our dogs would want to play with them and I’d rather prevent a vet visit.
My personal favorites are the large yellow underwings, chukars, and ring-necked pheasants, all of which came from Europe and don’t even belong in America. I still think they’re cool anyways.
I could live without any of them and in fact, with the exception of sumac, which grows on municipal land in front of my house and is managed by mowing all the root shoots and ivy, which i agressively manage where it does not annoy me, i kill all the other on sight by any means necessary.