The definition of greedy is someone who wants more of something than he is entitled to or the behavior of wanting more than you are entitled to.
That can be sated or satiated
Having or marked by a strong desire for an activity or pursuit:
Complete in every particular:
Never satisfied; insatiable
Eating any sort of food, esp. both animal and vegetable food
Find another word for insatiable. In this page you can discover 16 synonyms, antonyms, idiomatic expressions, and related words for insatiable, like: unsatisfied, unquenchable, greedy, satiable, voracious, satisfied, full, fulfilled, unappeasable, insatiate and unsatiable.