1) An act of complete destruction through
fire, as popularized by the web cartoon Homestar Runner by the character Trogdor the Burninator.
Similar bastardizations occur when changing tenses, or from noun to verb:
c.f., "burninator", "burninate", et cetera.
2) The title of a movie at www.toydestruction.com, which is the first result in a
google search for "burnination". The movie features a pink-and-grey furby being doused with white gas and then being lit on
fire.