The story
From a catchphrase of Bender, the rebellious robot character from the cartoon show Futurama (that first aired in 1999), which originally came from bite my ass; compare bite me. Predating Bender's use of the phrase, the similar phrasing "kiss my shiny plastic butt" is used in the 1998 slasher horror film Bride of Chucky.
Etymology from Wiktionary, CC BY-SA 4.0.