Thor: The Dark World (2013) director Alan Taylor is currently running Genisys through the post-production process, with Emilia Clarke (Game Of Thrones) as Sarah Connor, Jason Clarke (Zero Dark Thirty) as son John and Jai Courtney (Jack Reacher) as Kyle Reese. With Arnold Schwarzenegger lending his usual presence as one of the Terminator models (and possibly more), the story blends the plot from Cameron's 1984 original with fresh timeline tinkering, while maintaining the idea of a technological threat to humanity's future.
Given that Genisys opens a few days earlier here than in the States next year (26 June as opposed to 1 July), we can expect similar date shifts in the UK for the sequels, now dated for American cinemas on 19 May 2017 and 29 June 2018. Though sources tell The Hollywood Reporter that the two movies will be shot back to back, there are no details on who will be calling the shots if Taylor doesn't return.
Also mentioned in the story is word that Mark Wahlberg's (Lone Survivor) latest, The Gambler, is being put out in December for a brief awards qualifying run. There's no sign of a UK release date for that one yet.