I came across DVDplusGame which has a similar model, except they also have video games. It’s not one to one though, you have to pick a plan that has games as part of it, which runs a few more dollars (2 movies and 1 game is $33/month) but at least the option is there.

Simpson’s quote of the day: “Hey, don’t blame me, this movie is tired and predictable. You know she’s going to wind up marrying Richard Gere.” - Homer