I chose "Other" because I'll eat eggs pretty much anyway they're cooked, barring sunny-side up. It depends on what I'm eating them with/for, though, really. For a sandwich, I prefer either scrambled or over hard. If I'm eating them alone, usually I do over easy or over medium (dippy eggs for the win!), but then again, I love them hard-boiled too, as a snack or as one of my all-time favorite foods - pickled eggs (red pickled eggs, not yellow ones).
I guess overall I need to go with PPs who said, "Cooked!"
I'll eat eggs almost any way one can make them.
Oh, and Chicken In A Basket (or as I've called them before, Eggies In A Basket) is pretty amazing. My Mom used to make it for me all the time as a kid. I made some for Mr. Bottlecaps here a while back and he fell in love with it!