Unlikely. The standard for infringement in the US (likely similar w/EU via treaties and the like) is that it's confusingly similar and in relation to products or services similar to the products or services covered by the trademark.
That's an interesting grey area, I think. The film title trademark was applied for and awarded [76238315], but if I created another film called "The French Connection" with an unrelated, original story -- would it be infringement? Only if indeed their original trademark was considered valid and if my film were confusingly similar.
Their application states "...G & S: series of motion picture films... featuring live-action entertainment. ..." It actually is a series (did you know they made a sequel? I didn't). So it's probably a legit trademark.
But if my film were a romcom set in Paris, I suspect they'd be really challenged to make the case. The defense should probably cite the countless films with identical titles made over the years. Even if many/most of them weren't trademarked it probably still hints that there won't be confusion.