Since the Vietnam war the US has successfully (defined by "achieved the stated goals") invaded a country as part of the following conflicts:

  Grenada (1983)
  Panama to arrest General Noriega (1989)
  Iraq in Gulf War 1 (1991)
  Haiti (1994) 
  

There have been other conflicts the US was involved with that they won too, but the others didn't involve invasions (eg NATO in Bosnia