I am a bit of a movie buff. So naturally I'm aware that some of the works of Chesterton, Tolkien, and Lewis have inspired movies and television shows. I have to admit I have not seen them all. I've also wondered about some of the works that have not been given film or theatrical treatment.
Chesterton's Father Brown has been the subject of film, and several television series. Alec Guiness played Father Brown in the 1954 movie Father Brown - released in the U.S. as The Detective. I enjoyed that film. There was apparently a 1934 movie, Father Brown, Detective. I have not seen that one, nor have I seen the 1979 television movie with Father Brown transplanted to Manhattan in the 1970s, Sanctuary of Fear.
I am aware to two television series based on Father Brown. There was a 13-episode one back in 1974, and the more recent BBC one that started in 2013 and is continuing. I have not seen the former; I've seen a few episodes of the latter, which is set in the 1950's. It's okay, but not enough to inspire me to watch it regularly.
And there was an EWTN one episode Father Brown, "The Honor Of Gabriel Gow".
I know there are others out there, including ones in foreign languages. But it's safe to say Father Brown has drawn interest for adaptation.
One other work by Chesterton has apparently been made into film, The Man Who Was Thursday in 2016. I have not seen it but based on the reviews I've seen it's very loosely based on Chesterton's novel, and it sounds like a movie I don't care to see.
I'd like to see a good adaptation of The Man Who Was Thursday. I also would like to see an adaptation of The Napoleon of Notting Hill.
With Tolkien we obviously have Peter Jackson's magnificent The Lord of the Rings trilogy, and his less successful trilogy, The Hobbit. There was also a Rankin/Bass animated version back in 1977.
One story by Tolkien I'd love to see get a treatment - probably as a television show - is "Leaf by Niggle."
Again, there are others out there, but I do not know them.
As for Lewis, from 1988-90 the BBC adapted four of the books into three series. I watched them with my daughters and have fond memories of them - especially of Tom Baker's Puddleglum in the adaptation of The Silver Chair.
Between 2005 and 2010 there were three live action films - with special effects for man of the Narnian characters. They were enjoyable, but plans to film more films fell through. I'd love to see a couple more.
There have been some play adaptations of The Screwtape Letters. I'd love to see a movie treatment.
As far as I know, there have been no film adaptations of Lewis's science fiction trilogy - I'd love to see Out of the Silent Planet and That Hideous Strength adapted. I think Till We Have Faces could also be adapted.
As I've admitted repeatedly, I don't know all the adaptations. There may be some good ones out there with which I'm not familiar.