Mika Katsumura

After Kunisada (Riki Takeuchi)'s Yakuza leader and father figure is brutally murdered, he and his best friend (Kenichi Endo) go on a two-man mission to avenge his death, killing other Yakuza leaders leading to a final confrontation by the old man's killers. (imdb)

There's a weird virus or bacteria or some such jazz infecting people and the military will stop at nothing to prevent the outbreak from spreading. Which basically means there are a lot of guys in camouflage and gas mask going apeshit on civilians. Likewise there's a giant mutant rat going apeshit on military and civilians alike, though only within the confines of the research facility that spawned it.

A young man suddenly rises to the top of the underworld in Shinjuku, Tokyo. Other crime bosses now conspire to take him down. (asianwiki)

In the 30th century, time travel becomes illegal after a time paradox crisis. The Time Protection Department (TPD) is established to watch for and stop time crimes. Four new enlistee cadets of the TPD are tricked by Don Dolnero and his gang into letting them time-travel to the year 2000 to commit various crimes and, to protect history, the four cadets pursue them. They encounter a severe problem: the Timeranger program requires five members for the first operation. (imdb)