Sound like it'd be right up your alley? You can take part in the "competition" by liking Ryanair's Facebook page, then heading over to its "Get Your Plane Face On" Facebook app, where you'll be prompted to upload a photo of your face, include some pertinent deets, and write a brief (500 character) explanation of why you deserve this most dubious of honors.
And just like that, you'll be entered to win! Provided you enter before August 31st, anyway, since the "winners" are announced in September.
It should be noted that you're not competing for free flights, or air miles, or anything of actual value. It's literally just about putting your face on a plane -- which, how often are you looking at the nose of a plane, anyway? Now, if the promotion was to get your adorable mug on the plane's seat backs, or even the tray tables, maybe.