noun
food hog; glutton
Slang term for someone who eats all the food, especially in a shared setting like a party or family meal, leaving little for others. Often used humorously or critically.
彼は食い尽くし系で、パーティーの料理を一人でほとんど食べてしまった。
He's a food hog; he ate almost all the party food by himself.
あの食い尽くし系の弟がまた冷蔵庫を空にした。
That glutton of a younger brother emptied the fridge again.
食いしん坊 is a more general, often affectionate term for someone who loves to eat, without the strong nuance of depriving others.
Compound of 食い尽くす (to eat up completely) and 系 (type, style). The exact origin is uncertain, but it likely emerged in casual speech to label someone who habitually finishes all the food.