Lionsgate acquired the rights to Rothfuss's novels in 2015 and put a multi-pronged plan into operation, including a direct adaptation as a movie trilogy, a video game and a prequel TV series about the parents of the main character in the books, Kvothe. Work initially went very well, with Showtime picking up the TV project and Sam Raimi in talks to direct the film. Screenwriter John Rogers even completed the writing of all ten episodes of the planned first season of the show. Unfortunately, the project then collapsed last year. Showtime, facing massive budget overruns from its Halo TV series, cancelled the TV series and returned the rights to Lionsgate, whilst Sam Raimi withdrew from the film project.
According to Miranda, his stint playing Lee Scoresby on the BBC's His Dark Materials has given him "a new perspective" on the project, including the plan to adapt each of the three Rothfuss novels as a two-hour film. His Dark Materials is developing each of Philip Pullman's books across eight hours and even so has had to leave material out. To put this in context, the second Kingkiller novel, The Wise Man's Fear, is longer than all three Dark Materials novels combined by itself.
It sounds like the movie part of the project may therefore be dead, with a direct adaptation of the novels themselves as a TV show now the plan.
Despite this rethink, the project remains where it was with no TV channel or streamer currently attached. Reportedly Apple+ has passed on the project, meaning there aren't many more venues that might be interested. Netflix and Amazon have multiple fantasy projects (including The Witcher, The Chronicles of Narnia, Conan the Barbarian and a live-action Avatar: The Last Airbender for the former and Wheel of Time and Lord of the Rings: The Second Age for the latter) either shooting or in pre-production already and other potential partners might be holding fire to see how they pan out.
An additional problem is that the Kingkiller Chronicle remains incomplete. It's been almost ten years since the previous volume in the series, The Wise Man's Fear, was released and in July Rothfuss's editor confirmed she hasn't read a word of it and doesn't believe Rothfuss has touched the manuscript since 2014. Rothfuss himself has refused to discuss the status of the third book, The Doors of Stone, for many years, instead running online charity events and video game streaming events.
The Name of the Wind and The Wise Man's Fear are two of the biggest-selling fantasy novels of the past two decades though, having chalked up approximately 20 million sales of just two books (in comparison, Brandon Sanderson has sold around 30 million copies, but of more than two dozen books), with a formidable fanbase. If an adaptation could be well-made, it would likely be popular, but after the reception to the final season of Game of Thrones, potential partners might be wary of embarking on a similar project.