Back in November 2011 AUO unveiled a 4" flexible AMOLED prototype. Today the same panel won the "Outstanding Photonics product award" at the Display Taiwan 2012 conference. Here's a video showing the display. You can skip to 2:43 if you want to see a closeup footage of the AMOLED panel, showing how AUO setup a nice mechanism that keeps bending it:

AUO's 240x320 4" panel is made on an Oxide-TFT (IGZO) backplane, is a bottom-emitting device and it's only 0.3mm thick and can be bent with a curvature radius of 10mm.

AUO 4 flexible OLED prototype photo