Wow! What a long thread.
Here's what I'd love to get rid of.
Snails
Slugs
Crab grass
The Butterfly bush I planted on purpose. It self sows everywhere. Regardless of how much the butterflies and hummers love it, I'm going to get it out of my garden this year or else!
Bamboo (yes the invasive kind) It was here when we moved in 13 years ago and we've been battling it ever sense. About the time we think we're getting the upper hand it pops up somewhere else. I think the bamboo might have been the previous owners sole reason for moving. I have heard that moving is the only way to get rid of it.