By "local" I mean "within two buses and under 1h30m on those buses". The closest of the cinemas showing Your Name is still a 35 minute bus journey followed by a ~15 minute walk though. There is also a 10 minute walk to the bus stop.
For comparison, my actual local cinema is a 25 minute bus journey and ~3 minute walk. My favourite cinema, however, is a 3 minute bus journey, followed by a ~25 minute bus journey, followed by a 5 minute walk. Sadly, neither of these is screening Your Name.
It occurs to me that I may have access to too many cinemas, as there are another two cinemas, both ODEONs, that would meet my criteria for "local", but they aren't screening Your Name either.