The A320 will be succeeded by a new narrowbody when substantial technological advances have been made and the market situation demands so. Last year a few possible configurations for the Aircraft dubbed A30X have been released.

The two concepts with engine above the aft fuselage have been studied in various european research programs during the last decade. The third concpet shows a more radical redesign. It seems this concept is newer, Airbus used this summer for discussing future designs, produced additional models and graphics.
Although these are concepts only, I think a few interesting design directions become visible.
Wings: long slim clean, laminar flow wings most OEMS are looking after.
Engines: no open rotors but a more conventional ducted variant (although we do not know what’s inside). This concpet would indicate the industry isn't confident open rotor like promoted by RR will become feasible..

Size: it seems this aircraft is not a easily sizeable as e.g. the A318-A321 series. This could indicate Airbus still thinks the A320 will be replaced by 2 narrowbodies, a bigger and smaller one.
This pictures shows a more recent concept. It seems they messed up the windows / doors to hide the scale. I would not be suprized as this is a concept might be a twin aisle.

http://blog.flightstory.net/1529/images-airbus-concept-plane/