It is forbidden if it influences the viewer and causes moral corruption or arousal. Furthermore on a mandatory precaution watching such movies is to avoided entirely if it contains sexually indecent scenes, accordring to Sayyid Sistani. 

If the movie is immoral, which means that it contains obscene scenes that trengthen one's satanic whims, weaken one's will, faith and precipitate for vile consequences and perpetration of sinful acts it is totally impermissible, accordring to Sayyid Khamenei. 

You must do an individual evaluation of the specific movies (when skipping the indecent scenes and haram music) to consider whether the rest of the content is decent.