Thanks for all the answers everybody! I downloaded the first two remakes, now all I need is some time. I think I'll use a guide to avoid the dead ends in 4 and 5, but it'll be a while before I get that far. I played a tiny bit of the first remake, and I'm actually rather impressed by the scale, even though the first game is probably not even that big compared to the later games. I wonder how that will translate to a Telltale game.
Anyway, thanks again everybody, you've all been very helpful!