/u/lr4444lr and /u/ajmurmann nailed it. "Agile" is just what the Agile Manifesto says. Strictly speaking, "Agile" in and of itself isn't even a methodology - it's just a set of principles, to which a number of concrete methodologies claim some association. They differ in the degree to which they faithfully represent the spirit of the manifesto.

So really, you're never "doing Agile". You're "doing $X" where $X can be Scrum, XP, Crystal, AgileUP, SAFe, or whatever. At most companies what you get, in my experience, is a bastardized version of Scrum cobbled together by somebody who has never actually developed software, took a couple of Scrum classes (maybe), paid too much money for some "help" from some "Agile coaches", and is hoping some of the resulting shit will stick to the wall.

FWIW, I've actually had the pleasure of working at company that did Scrum and really did it well, and it was honestly a great experience. Actual Scrum, as documented in the Scrum Guide, isn't bad. The problem is when people take base Scrum and start tacking on additional shit (see: "agile coaches" and "agile consultants") and wind up with a bureaucratic / kafka-esque tarpit of interminable meetings, ceremonies, and artifacts. In other words, pretty much exactly what the Agile Manifesto stood against in the first place.