The most recent volume of the Kölner Papyri has a small piece of Luke's Gospel (HT: What's New in Papyrology?):
Kölner Papyri (P. Köln), ed. Charikleia Armoni at al; Band 11 (Papyrologica Coloniensia VII/11), Verlag Ferdinand Schoeningh, Paderborn 2007).
436. Lukas 3.29–30 (Inv. 2638) 58
It does not appear to be on-line as yet; nor have I seen the book.