ooooohhhh I used to read about that stuff. Maybe you know--I've probably made a bunch of references to Greek mythology in the past.
One that's of interest to me is Daedelus and Icarus, although I wouldn't call them my favourite. It's used quite poetically in Malcolm X's autobiography; his interpretation of the myth is that Icarus flew too high and so offended God, and that's why he fell. I'm not religious, but I like how it's used there. Concerning the Labyrinth: I've sometimes felt stuck in one.
On that note, I like the story of the Argonauts because it's strikingly similar in parts to a late addition to the epic of Gilgamesh as well as the Biblical flood story involving Noah. All involve ships, floods and doves. I'm assuming all are of the same origin, but I've never confirmed this through research.
One that's dear to me is Baucis and Philemon.
And I've always been a fan of Homer's Odyssey. I much prefer it to the Iliad because it's the journey of one man instead of the chaos of a great multitude. I think it's much more relatable in that sense; everyone can find something they know in the idea of moving forward, trying to get somewhere. Penelope's Web is a great concept and I envision one day having the perfect opportunity to use it to describe something.