ancient
"Ancient" is another word for very old.
The word you're looking for is "antiquated," which can sometimes be associated with being very old or outdated. However, if you are specifically looking for a word with "ie" or "ei" that means very old, "ancient" fits the meaning but does not contain those letter combinations. Unfortunately, there isn’t a widely recognized word that fits all your criteria perfectly.
There is no word in greek methology
before
Gael
Asinine.
"Deceiver" is another word for liar that starts with the letter A.
Vanquish is an eight letter word. Vermouth is another word beginning with v and ending with h.
navy
Another word for holy is pious.
Edit
Rejected
Gematria
discorddisagreementdivisiondivisiveness
softening
Data
twill