Actually Battle Royale becomes quite focused on that couple and how they can't sacrifice the other in order for one to live etc, kind of romantic with a lot of guns and heads blowing up in between. Good film!
Fight Club? There is love/sex, it's important to the storyline and all that, but I can't imagine even the most heartbroken person being sad over it. Or the Godfather for a similar thought. Ok, yeah, every movie ever is baaaad when you want to avoid love/sex completely. Oh, oh, Star trek movies have to be ok, right?
Try HelloMovie (website with uber listings). Dunno if it'd help, but still.
Die Hard, The Terminator 2, Predator, Training Day, Blade, Naked Gun, South Park, Snakes on a Plane, any film with Steven Seagal, Joy Ride, We Are Marshall, Space Jam, Mega Shark vs. Giant Octopus, Godzilla, Komodo vs. Cobra...
I'm heartbroken at the moment and I need to not contact him for a while which isn't going to be easy. So I neeD something to take my mind off him. Films are a good distraction but I need some with NO sex or love themes otherwise it's not going to work.