Bad news; looking into the article history, this isn't stable (failing GA criterion#5) given how there have been massive changes recently and content disputes. That alone is an automatic fail I'm afraid. Here's some other comments from a glance:
Having a really large number of pictures simply clutters the article
There are way too many lengthy quotes within the article; please paraphrase
Phrases like "her glamorous lifestyle, beauty" and "a savvy business woman" are not neutral
How her parents met (as well as the Howard Young bit) belongs in their own articles, not here
"didn't allow her" should be "did not allow her" per WP:CONTRACTIONS
The "social circle" and "gifted Taylor a pony when she was five years old" are superfluous
Please make sure every paragraph ends with at least one in-text citation
Her marriages should be in prose form rather than a numbered list
Friendship with Michael Jackson is trivial
Not sure if "In 1971, Taylor became a grandmother at the age of 39" is necessary
The big quotes on her conversion to Judaism are simply overkill
For accolades, keep the focus on what she won; mere nominations that she lost aren't particularly noteworthy compared to actual wins
Having a "filmography" section consisting solely of a link to
Elizabeth Taylor filmography is ridiculously short and doesn't by itself inform readers of anything meaningful. Either list all of her films in this section or just include the link somewhere within the "acting career" section.
The Oxford Dictionary of National Biography link is malformatted and contains a HARVref error.