City Hunter: Bay City Wars (1990)

Rival private eyes Ryo Saeba and Umibozu must find a way into a high-tech luxury hotel to rescue their friends who are being held hostage and stop a mad South American dictator's plans to use the hotel's supercomputer to unleash a nuclear holocaust. Highly reminiscent of Die Hard, right down to a scene where Ryu bunjee-jumps off of the roof of the hotel skyscraper with a fire hose.