Henceforth, my default answer to this will always be "Go play Heavy Rain." I'm not a gamer, but Quantic Dream's interactive fiction is much closer to cinema than game, and yet the player is very much in control of what transpires throughout the process. The game/movie is mesmerizing and gut-wrenching (despite the infamous "SEAN! SEAN! SEAN!" glitch, which plays more like a blooper real for The Shining), but it's certainly not what most would consider "fun" or "gamelike."
It's enjoyable in a way all great art is, though -- and it also treads heavily on and across the uncanny valley.