Papa Lazarou
Living in a De Zerbi wonderland
Picture House and Vue cinemas will show a classic every now and then but I don't know of any that do so as their main trade.
The nearest Vue is in Portsmouth I think? I know that because Vue are doing a Three Colours Cornetto triple bill to mark the launch of Worlds End, but there's no screening closer than Croydon or Portsmouth. Down here we've got a lot of multiplex options, but nothing different.