I'm basing my list on YouTube videos, so it's probably not entirely accurate:
Erin
The Fray
Of course, it's possible that she has played the first few, but she obviously didn't like them enough to transfer them to her first album, so it makes sense that she wouldn't be playing them anymore.
But what about Does Not Suffice? Has she played it live and there's just no videos of it? If not, why?