Let's start the list from memory, then we can revise it as we go:
In the Bible we are made aware of methods used by:
The saints of old (see Hebrews 11&12)
About the same time Jewish sages were formalizing methods related to Pardes, the four-fold interpretation of scripture, concerning the literal, hints, comparisons, and a hidden esoteric meaning.
Meanwhile there was another Jewish methodology relating to a four-fold interpretation but was based around "voices" or applications to the king, priest, judge and prophet. (I need to go back and find my references on this, but I think it predated Pardes).
Alexandrian Judaism practiced allegorism as firmly established by Philo.
Clement of Alexandria championed the allegorical approach which used Greek rhetorical invention. He also tried to reclaim the title Gnostic from what he called Greek plagiarizers. He insisted that God created the first and only true Mystery religion.
At Antioch in the fourth and fifth centuries, the literal interpretation was championed in opposition to the school of Alexandria.
In the 12th -13th century Jewish Kabbalah came into practice, though it's adherents claim that it precedes all religions.
Thomas Aquinas references the four-fold meaning of scripture (Quadriga).
In the 18th century, the Age of Reason, introduced methods that elevated the reason of man above the revelation of God. These methods are still common today.
The 20th Century brought us methods where the intent of the authors is superseded by the meaning that the reader derives from a text.
The 21st century has introduced a hermeneutic where the text doesn't even need to be referenced, but is based upon a vague understanding of spirituality imposed back upon any scripture that might accidentally be involved. Truth itself has become a personal belief system since we all "create our own realities".
There should be a few modern Jewish methods added to the list.
We can go back and correct my memory and add distinctions.