Agile is not a methodology it is just a list of values and practices, described in Agile Manifesto.
You may easily find a list of Agile Frameworks such as Scrum, XP, Crystal Clear and others.
It may sounds strange, but they still are not a methodology.
Methodology is their implementation, which works for context it was created.
Unfortunately, Agile implementations sometimes have a blind spot.
You may easily start using Agile practices but without accompaniment mindset they most likely not work.
And what does "Agile mindset" actually mean?