There are quite a few film adaptations of his plays - although not recent ones - starting with A Kiss for Cinderella , a silent movie from 1925 https://www.youtube.com/watch?v=G_CG_xgVFFU
Quality Street was adapted twice, the first time in 1927 with Marion Davies and the second in 1937 with Katharine Hepburn. The latter incidentally also starred in The Little Minister but of course that was a novel, not a play.
The Admirable Crichton was made into a film with Kenneth More in 1957 - the only one I've seen, and it's pretty cringingly awful - and very dated now.
The Old Lady Showed her Medals was loosely adapted in a film (Seven Days Leave) starring Gary Cooper in 1930.
I remember seeing an adaptation of The Twelve Pound Look for the BBC many years ago, which was very good. There was also a silent movie from the 1920s but I've never seen that.
They are the only ones I can think of at the moment. The one I'd like to see on screen is Dear Brutus, one of my favourite plays, but no luck so far. There was a very good radio adaptation on the BBC a while back.