alt Hacker NewsKino Regina, the movie theater mentioned, is owned and operated by the Finnish Arts and Culture Agency and does not only show classics, but also a lot of contemporary movies of note, right up until recent releases. It has modern hi-grade digifilm equipment but is also equiped to show film from eg. 70mm and cinemascope formats. They also host concerts and seminars.
Last summer I was visiting Helsinki and they showed Prince's Sign O’ The Times live from 35mm film in that theater. They have these public votes every now and then where you can vote to see some movie from their archives.
I never saw this from a huge screen, and it was fantastic. Be aware if you go see a movie that's not in English, they quite often only have Finnish subtitles.