Invasive vines... Any suggestions...?

Has anyone noticed some of the aggressive vines growing around here?  I'm relatively new to gardening, so maybe they have always been an issue, but yousa...  There is a vine in the neighbor's back yard (bordering on our back yard) that is actually reaching up, up, up... and strangling a beautiful maple tree...  And another one (it looks like a wild grape vine, but it is fuzzy) that keeps popping up as quick as I tear it down.  Suggestions anyone?