Fixie #1, as in the first to be fixed, is known as "Sir Walter Raliegh of Nottingham" or just "Sir Walter". The moustache bars lend to the name.
Fixie #2, the Slingshot, is simply "the Slinger" or "Slingblade" depending on its mood or method of use.
Fixie #3, Paramount track, "the Mount"
Fixie #4, the Marinoni TT, "Pinky Tuscedero"