$1500 for the frame, or the whole bike? I think $1500 will cover you for a Vanilla frame, but won't even get you the fork, much less wheels,handlebars, etc. But they are oh so very pretty.
Aluminum, but a complete bike for $1400.
http://www.bianchiusa.com/568.html
If I had $1500 to spend on a fixie I'd probably get a used frame and build it up. You'd save on the frame and be able to put the savings better wheels, cranks, etc.
But if I had 3 grand to blow . . . Vanilla no question--look at that bike! It reallly is so beautiful it hurts.