If you’re renting a lot of movies, I would suggest you try out Netflix. They do get the movies pretty much day of the release, and the turn around is pretty quick. For those that are into anime, or asian flicks, Netflix gets those too and is one of the few places you can even get a hold of these types of films with a large library to choose from.
It really beats the On-Demand stuff, especially when DVDs are now releasing about a week or two behind the On-Demand. Is it truly that important for you to see it when you didn’t at the theater anyways?
In any case, there really isn’t any reason you shouldn’t be doing this if you do watch a lot of shows and movies. Never had an issue with them, and hopefully will continue to have that wonderful customer service. So remember…Rent movies from Netflix! It’ll save you money in the long run.