Here's a collection of my favorite songs that work well for the tenor guitar. Enjoy.
Herman's Hermits, Roy Orbison, Buddy Holly, John Denver, Elvis Presley, Paul Simon, Beatles, Tom Jones, Traditional, Neil Young, Bob Dylan, George Harrison...
Lars W Andersen songbook
Some good quality songs, wery good for beginners, as my self ;)
Don McLean, Simon & Garfunkel and Leonard Cohen