I think the game fitting best here is the Mass Effect Series, as both games manage to get really close to movies with their plot and of course delivery of this plot, with captivating cutscenes and good voice actors, while - and this is important - still being a good game, with often fluent transitions between cutscenes and gameplay. Everything that happens, even the prerendered 2D-cutscenes, integrate neatly into the whole package.
Half-Life 2, while also really good in the story and acting department, felt always far more like a "pure" game to me. For some reason, if I am actually able to move my character during what would otherwise be a cutscene with different angels and such, I get impatient with the exposition.
Of course, people could argue that Final Fantasy already bridged the gap between games and movies, but all the Final Fantasy games I saw so far could basically be emulated if you watch any movie and keep a chess set at hand for the commercial breaks.