Obeying rhymes with:
disobeying, baying, disobeying, allaying, arraying, baying, betraying, buffeting, conveying, crocheting, decaying, delaying, dismaying, disobeying, displaying, doomsaying, fraying, graying, greying, haying, heying, laying, nonpaying, overplaying, paying, playing, portraying, praying, prepaying, preying, purveying, repaying, replaying, saying, slaying, spraying, staying, straying, surveying, swaying, weighing
Obeying sounds like:
obnoxious, offense, offenses, offing, opening, openings, openness, opens, openshaw, opines, opining, opinions, oppens, ovens, ovonic