BAE Systems in the UK are flying a UAV, 4 meter wingspan, with no moving control surfaces, using blown air for flight control. It's called Magma. (They had a previous smaller one called Demon – PPrune discussion
here in the military aviation forum.)
It's produced silly mass-media headlines like
Could this plane end bumpy landings? Britain trials the world's first aircraft without wing flaps (Daily Telegraph, story behind pay-wall after first 2½ paras) although in the paper's partial defence,
BAE themselves and
The Engineer talked about flaps in their stories. In fact it seems to be not only flapless but also aileron-less, rudder-less and elevator-less, no moving parts.
Obviously there's a long way to go, but might this technology have potential for commercial aircraft one day?