The way of accomplishing Asian Fit does vary from model to model, so that could affect whether or not it will fit ok on non-Asian faces.
For many sport frame that already include small and large nosepieces, Asian Fit just means that the large nosepieces are already installed, and you could just swap the small in for standard fit.
For frames that have separate (not molded into the frame) but non-interchangeable nosepieces (Straight Jacket, Pit Bull), typically the nosepieces are just taller and/or thicker. I am not aware of any frame differences.
For frames with molded-in nosepieces, the nosepieces are taller/thicker, and some styles actually have less frame curvature. As Paul said above, Gascan is much flatter. Fives 3.0/Five Squared is also slightly flatter.
For wire frames, the stems that the nosepieces are mounted on are longer to allow a greater range of adjustment.
One recent exception is the AF M2 Frame. The curved bottom edge of the lens is actually cut higher than the standard lens to increase clearance to your cheeks. The stock pictures actually show that pretty well.