Angel Eyes - I like the Jeff Healey Band version best, but John Hiatt wrote it, and his version is good, too.
Keep Your Distance (also How Will I Be Simple Again, and Missy How You Let Me Down) - Richard Thompson
Tuesday's Gone - Lynyrd Skynyrd
Carmelita - (also Vera Cruz and Accidentally Like a Martyr) - Warren Zevon
Allison (also Party Girl) - Elvis Costello
Old 55 - Eagles (Tom Waits original version is good, too)