The phrase "availed of" means to make use of or take advantage of something. Its antonyms are words and phrases that mean the opposite, including "ignored," "disregarded," "passed over," or "overlooked." If someone did not avail of an opportunity, they let it slip away or did not take advantage of it. Similarly, if someone disregarded a chance or overlooked its potential, they did not avail of it. Therefore, the antonyms for "availed of" refer to situations where people neglected to use or benefit from an opportunity, resource, or advantage that was available to them.