1. Of or characterized by a highly developed or wide-ranging skill or proficiency: “The compleat speechwriter … comes to anonymity from Harvard Law” (Israel Shenker).
2. Being an outstanding example of a kind; quintessential: “Here was the compleat modern misfit: the very air appeared to poison him; his every step looked treacherous and hard won” (Stephen Schiff).
As defined by wordnik and the American Heritage Dictionary.