Does Ryanair lease any aircraft?
Ryanair mainly buys their aircraft. Part of their ability to offer cheap flights comes from buying aircraft in bulk and generally only operating a single type of airframe. 

They generally buy new Boeing aircraft operating primaraly the 737 series.  


  ...had agreed to buy five more Boeing 737-800 aircraft, taking its order
  book to 180 new Boeing planes worth over $16 billion.


Planespotters.net has a nice list of the aircraft in Ryanair's fleet, with the exception of this -700 the rest of the aircraft only show registration to Ryanair as an owner under owner history.