This isn't the first bike to be fitted with a jet turbine and perhaps it isn't the prettiest either but it certainly could be the cheapest.
Listed on the US Ebay site, with a starting price of $12,000, the Honda Magna custom is fitted with a Boeing T-50 jet turbine that produces a claimed 300lbs of thrust. Power can allegedly be raised to 400+ lbs with the afterburner turned on.
There's no mechanical link between the turbine and rear wheel, instead the thrust from the exhausts power the bike along like an aeroplane with no wings. In his ad the owner states 'must have large cohoonies to ride'.
The bike currently has two more days to run and hasn't yet met its starting bid.