There have been a few film adaptations of Three Sisters, but I was unable to find any of them online—and none of the readily-available ones look very promising. For the record, here is what I found:
• A 1966 film directed by Paul Bogart. This is not out on DVD, but you can get a VHS tape at NYPL.
• A 1970 film starting Laurence Olivier. Widely available on DVD, including at NYPL.
• A 1970 BBC TV broadcast of the play. Available on DVD at NYPL.
• There was another BBC TV broadcast in 1981, this one based on a production of the play by Trevor Nunn. VHS copies of this exist, but none in the US, unfortunately.
• There was a 1994 Russian film adaptation, directed by Sergei Solovyov, and apparently based in part on the Olivier adaptation.
• In 2009 there was a low-budget film adaptation by the Ocean Troupe theater company. The trailer is on YouTube:
There have also been scores of productions of the play, some of which drastically alter it. Apart from The Quick-Change Room, there is Three Sisters: The Final Cut, a “radical adaptation” of the play that showed in San Francisco in 2010. Here is a (strongly negative) review:
Another play adaptation called Promise premiered in 2012. For some reason the trailer is set to private on YouTube, but you can look at the play’s Facebook page:
In 2010 (?) there was a Greek production put on by the Karolos Koun Greek Art Theater, set during Perestroika. The production included video clips assembled mostly from historical footage, which you can view here:
There is a “rendering” of Three Sisters by Sarah Ruhl, which premiered at Yale Repertory Theater in 2011. Here is a review:
The script for this adaptation has been published, and you can find it at Columbia or Fordham.