In 1966, three Superman-related vinyl records were released, on three different labels(?), two of which contained a reprint comic, one of which had stories detailing Superman's origin. Krypto appeared in that. But it's the comicless Children's Treasury of Superman Musical Stories that most interests us today, seeing as it has two songs about Krypto!
Both are bouncy 60s fare and can be found at the end of the record. Long out of print, I thank the Superman Homepage for its help in tracking down the audio:
Track 11: Krypto
Track 12: A Dog's Life
Silly but fun, at least for us Krypto fans. What did you think?