Heavy Rain and Ace Attorney are Point and click adventures (this genre was popular in the past with games like Monkey Island and nobody called it "interactive movie" before). These games are usually good for people who like puzzle games, exploration, good storyline etc. You really need to use your brain, so I don't know how can it be an "interactive movie" just because it has a good focus on the storyline.
Alan Wake is an action game and Lost Odyssey is a modern JRPG but it has exploration, the system is similar to any other RPG (of course, there are enchancements)
I don't understand your list, I think that what you are trying to say is: "I hate games with too much text or cutscene" because there is no interactive movie in your list (even Heavy Rain has a lot of exploration and you need to use your brain, did you played the demo?).
I know 1 interactive movie ("428: Fuusa Sareta Shibuya de" for the Wii), that's what you can call "interactive movie" because there is no action/exploration/puzzles, all you have to do is make some choices.
-Edit-
Ok, I take back what I said, MontanaHatchet gave a good argument.
