A couple of non-PC tunes from the era (1962 actually):
Speedy Gonzales - Pat Boone
Ahab the Arab - Ray Stevens
If you really want to talk about politically incorrect check out Johnny Rebel his songs are disgusting, like - Ni**er Hatin me or I Hate Ni**ers that still to this day is sadly attributed to Johnny Horton.
That song was a huge hit in '63 and virtually everybody was singing it. You're right....too politically incorrect. You'll never hear that song ever again on pop radio. Fortunately, I have Ray Stevens Greatest Hits on my MP3 player.