1. Extremely hungry
   "fell into the esurient embrace of a predatory enemy";
   - famished, ravenous, sharp-set, starved
    
2. Devouring or craving food in great quantities
   "esurient vultures";
   - edacious, rapacious, ravening, ravenous, voracious, wolfish
    
3. (often followed by ‘for’) ardently or excessively desirous
   "the esurient eyes of an avid curiosity";
   - avid, devouring, greedy

See also: desirous, gluttonous, hungry, wishful