Clapham Common on the Northern line is only seven minutes from Colliers Wood and the Clapham Picturehouse is only a two minute walk from the station. In terms of the journey's elapsed time that may be nearer than the Curzon or Odeon. The trip will be free as well of course with my travel card.
I took a look at https://www.picturehouses.com/cinema/clapham-picturehouse.
The Godfather isn't playing there.