That depends on what you mean by "interactive movie". I've seen some games that rely too heavily on cutscenes, and other games that keep the character pretty strictly on rails (e.g. Call of Duty and Half-Life series), and I generally detest both of those.
I like to get into high tactics, if not strategy, in the FPSes I play, which means I like games that have the scope and openness for emergent action. Typical examples would be Far Cry and Far Cry 2 (but not Crysis, being spoiled by the suit's power). These aren't really what I'd call interactive movies, because even though they have plot to keep the character moving along, the main meat of the game is in how you tackle "action bubbles" - but those action bubbles are nice and broad that there's plenty of scope for deception, diversion, distraction, improvisation with explosives in the environment, and an openness to lots of different approaches that linear games like Half-Life (particularly 2 and episodes) can never really match.
I like to get into high tactics, if not strategy, in the FPSes I play, which means I like games that have the scope and openness for emergent action. Typical examples would be Far Cry and Far Cry 2 (but not Crysis, being spoiled by the suit's power). These aren't really what I'd call interactive movies, because even though they have plot to keep the character moving along, the main meat of the game is in how you tackle "action bubbles" - but those action bubbles are nice and broad that there's plenty of scope for deception, diversion, distraction, improvisation with explosives in the environment, and an openness to lots of different approaches that linear games like Half-Life (particularly 2 and episodes) can never really match.