Not sure if this counts since it was his own song, but this one:
This version really stuck out to me over the original when I first heard it on the TV show Scrubs:
It fits more of that 'day by day' tone of work and life that the original was going for, and the type of guitar he uses in this version has more of a lighter feel of 'don't worry, it will be alright' over the original's saxophone.
On a side note, I've seen quite a few doctor-drama TV shows come and go but I truly believe that Scrubs might be the best one of all time. It's just so grounded and relatable on so many levels that even actual medical staff have commented on how Scrubs got so many things right over other medical shows, especially when it comes to the daily grind of it.