PlayStation Now is on offer via the official PlayStation store at £37.49 for one year subscription. It is auto renewal but you can stop thick by just unticking a box.
It gives you access to hundreds of games to play from ps2 to PS4 era, the catalogue can change but there is loads on there. Works out at just over three quid a month.
You can find the full current games list below but to give you an idea it includes things such as Just Cause 4, Control, Batman games, loads of Lego games for the kids, the Bioshock collection, Bloodborne, Castlevania Lord of Shadows, Darksiders, Dead Island, Fallout 3 and 4 and New Vegas, Gravity Rush 1 and 2, Metal Gear Solid V, Shadow of Mordor, Pillars of Eternity Complete Edition, the first Red Dead Redemption, Resident Evil 4 5 and 6, Rocket League, Sniper Elite 4, Legend of Heroes Cold Steel I and II, Titan Quest, Vampyr and loads more.
https://www.playstation.com/en-us/explore/playstation-now/games/#allgames
You can also lower the price by around another 15% if you buy PSN credit top up from somewhere like cd keys.