The 8-DAY-GREEDO hotline is a way for listeners of Star Wars Minute to contribute to the show. It is an answerphone with the number 832-947-3336 (which, on a touch-tone phone, spells out "8-DAY-GREEDO") that listeners can call up to leave messages about upcoming minutes. Some of those messages are stitched on to the front of the daily podcast. In particular, short, funny, and relevant messages are most likely to be chosen to be played "on air".
8-DAY-GREEDO was established around, and first mentioned in, SWM 21.