Yes I've also been in SCRUM projects that worked well; however, these projects would have worked well under any organization, because of the particular people on the project.
Yes, when it's worked for me, the team has also been great. What I mean, though, is that scrum was an active benefit to us. The project would've gone well with or without scrum because the team was good, but scrum was helping us achieve our potential over using other approaches (that I know of).