The Turner Classic Movies channel is airing the movie Berkeley Square (1933) in November in America (Sunday 23rd of November at 8:15am ET). Currently only available on grainy VHS tape or as a VHS rip, my guess would be that this Turner showing could be the restored 35mm print version which was first screened at the 2011 H.P. Lovecraft Film Festival.
At home — & on my own initiative — I saw Berkeley Square again … Talman & Long, who saw the play, say that the cinema version is slightly inferior. As you say, there are things about the transferred identities of the two Peters which tend to arouse questions [Lovecraft discusses plot points and historical accuracy for a page] But with all its defects this thing gave me an uncanny wallop. When I revisited it I saw it through twice — & I shall probably go again on its next return. It is the most weirdly perfect embodiment of my own moods & pseudo-memories that I have ever seen — for all my life I have felt as if I might wake up out of this dream of an idiotic Victorian age & an insane jazz age into the same reality of 1760 or 1770 or 1780 the age of the white steeples & fanlighted doorways of the ancient hill, & of the long-s’d books of the old dark attic trunk-room at 454 Angell St. (Selected Letters IV, pp.362-364)