Floppy is a male rabbit characterized by white fur, a dark brown nose, and three black whiskers on each cheek. His features include white or light blue eyes, long ears with pink interiors, a fluffy white tail, and a bald head. He typically wears a yellow sleeveless tank top, blue long-sleeved jeans fastened with a black belt and golden buckle, and sneakers in red, light green, or green. Red earphones linked to a Walkman remain a constant accessory. Alternate outfits feature dark blue swim briefs echoing his belt design, orange polka-dotted underwear, yellow sleepwear comprising a long-sleeved shirt with pants and red slippers, and once, an aqua green leaf skirt.

His personality merges scientific curiosity with fierce competitiveness. He enthusiastically invents and pursues science-related activities while exhibiting determination in sports and contests. Though driven during challenges like races, he upholds ethics by rejecting cheating.

Family dynamics position him as Mimi Rabbit's older brother, sharing a close bond, with an unspecified mother and father mentioned but undetailed. Socially, Roobear Koala stands as his closest friend, alongside companions Nick Penguin, Betty Koala (explicitly non-romantic), and Laura Koala. His interactions with the Kangaroo brothers—Colt, Walter, and Horsey—oscillate between frenemy tension and outright enmity due to their troublemaking. Enemies include the Wicked Wizard and the Koala Bear Gang, both invoking fear. A fleeting romantic interest emerges with Diana, a visiting rabbit he momentarily mistakes for a lunar deity.

His core traits and relationships remain consistent throughout the series, with no documented evolution or expanded backstory in additional media.