The episodes "Zelda The Great" and "A Death Worse Than Fate" are based on "Batman's Inescapable Doom-Trap!" from Detective Comics #346 (December 1965) by John Broome.
The episodes "The Penguin Goes Straight" and "Not Yet, He Ain't" have a plot point of the Penguin framing Batman for a theft actually comes from Detective Comics #58 (December 1941) by Bill Finger, which is ironic as it was to be the issue in which the Penguin first appeared.