One of the outros that I actually don't like is "Realize" by Colbie Caillat. It has a false finish, but them comes back and gives the impression that the song is about to continue, into another verse or chorus, or at least a solo, but then as soon as it gets going again, it just ends! It promises more, but fails to deliver! (I would also take out the guy singing "harmony" vocals with her, because he is out of key, and actually detracts from the song!)
I like the drumming at the end of "How to Save a Life" by the Fray, and I was actually surprised that most stations let that play through until it finishes! If it had been a fading drum outro (such as "She Blinded Me with Science" by Thomas Dolby, another one that I like), they might not have been as generous in letting it play out.