Here's his first solo composition, which took 6 years to be recorded, finally finding a home on The White Album (on which Don't Pass Me By made the Xmastime cut!!! Congrats Ringo! And Beatles!)
Starr first played his song for the other Beatles soon after he joined the group in August 1962. Its earliest public mention seems to have been in a BBC chatter session introducing "And I Love Her" on the radio show Top Gear in 1964. In the conversation, Starr was asked if he had written a song and Paul McCartney mocked him soon afterwards, singing the first line "Don't pass me by, don't make me cry, don't make me blue, baby."