The following is a list, compiled by the mysterious Mr. X, of the seventeen episodes in which Superman flies with a passenger in one manner or another. (It is believed that this list is complete -- if you can think of another one, please let me know.)
Superman on Earth – Dabbs Greer
The Birthday Letter – Kathy Williams
The Mind Machine – John Hadley
The Stolen Costume – Ace and Connie
Double Trouble – Count Von Kleben
The Runaway Robot – Lois Lane
The Human Bomb – Jimmy Olsen
Czar of the Underworld – Dinelli & Henderson
Crime Wave – Walter Canby
The Unknown People Part II – Mole Man
The Man in the Lead Mask – Marty Mitchell
Around the World With Superman – Ann Carson
Flight to the North – Leftover Louie Lyman
Joey - Alice
Blackmail - Bates
The Atomic Captive – Anna and Sonia
Three in One – Harmon the Great & Atlas
Two episodes had two separate flights with passengers: Czar of the Underworld and Three in One.
Close, but no cigar:
In The Clown Who Cried, Superman caught Rollo, but he didn’t fly him.
In Jet Ace, Superman “steadied the ship”, but he didn’t lift it. Tough call.
Many thanks to Mr. X for permission to reprint this list!
For some interesting pictures of flying scene outtakes showing George suspended by wires as well as executing his springboard takeoff, consult Mr. X’s wonderful article, “Super Outtakes” at The Adventures Continue website. You can even download some test footage of the Shot in the Dark flying scene, thanks to Mr. X! Check his The X Factor page at the Glass House Presents website and look for “second season test flying footage (1952)”.


