I remember this programme. It was called Incredible Games, and it was actually aired in the 1990s, on BBC1. There's a web page about it here:
http://www.ukgameshows.com/atoz/programmes/i/incre
dible_games/index.htm
which is unfortunately not as informative as it could be (focusing as it does mainly on the second series) , not to mention inaccurate about the name of the first actor to play 'the lift' (David Walliams, not Leslie Williams as it says). One bit of trivia I remember is that the Dark Knight was played in the first series by Simon Shelton, who later occupied the purple suit of Tinky Winky' Oh, and no way was it better than Knightmare.