I can't see another version on LotR being made for quite some time, purely because this film version has had so much praise heaped upon it. I am thinking in terms of fifty/sixty years or more before anyone attempts another version. But maybe they will include more of Tolkien's text, and maybe they will stick to the story more. 'Remakes' often do strive to be 'more authentic', and tout themselves as being more true to the original book or to historical fact. Just as we saw the supposedly authentic
Bram Stoker's Dracula (which, it turned out, did
not stick to the book as it did not include anything of Whitby

) we might see the supposedly authentic
JRR Tolkien's Lord of The Rings.
This would depend on authenticity holding any value in a future society of course. And many of the most lauded films simply do not get remade e.g. Gone With The Wind. But I can quite easily see people laughing at certain aspects of the films in 20 years' time, as some things will simply have gone out of fashion, such as the modern idioms used in the script. Just as saying "Man, that was outta sight!" would sound funny nowadays, saying "game over" might well be deeply cringeworthy in 20/30 years' time.