Japan Sword Martial Arts
There are several Japanese sword martial arts in details here.
Kenjutsu, Iaido, and Kendo are among the common sword arts.
Kenjutsu is more agressive and uses no armors.
Iaido focus on certain things and aims to give a letal blow to your opponent.
Kendo is more about routine than real life fight.
While on that, there is a mention of pairing sword arts with bare hand martial arts.
About it, there is this good opinion on what martial arts to use:
"So, I would probably combine Kodokan Judo with Ashihara Karate to develop an effective all-Japanese martial art for the street. It’s also worth mentioning that Jujitsu would be a solid substitute for Judo; however, most Jujitsu schools today teach Brazilian Jujitsu, not Japanese Jujitsu." here