In Mask of the Phantasm, we see Bruce practice jutsu or ninjutsu (i'll have to watch it again.)
anyway googling gave me this blog
Boxing Upper West Side : How many martial arts does Batman know ?
Batman knows 10 core martial arts
Batman is proficient in ten core martial arts, cherry-picking the most devastating and tactical knowledge from each:
- Aikido – throwing techniques
- Boxing – punches
- Judo – throwing techniques
- Karate – open hand strikes
- Krav Maga – headbutts and disarming techniques
- Kung Fu – defensive skills
- Muay Thai – elbow strikes and knee strikes
- Ninjutsu – weapons throwing techniques and stealth
- Savate – kicking techniques
- Tae Kown Do – kicking techniques
Today, Batman knows 127 martial arts
Above all, fans appear to be very passionate about Batman’s skillset. Because of this, the tally of martial arts is at 127. It may sound unlikely but this is over more than 75 years of Batman on TV and in comics.
For example, the most significant and widespread martial arts from those 127 include:
- Aikido
- Ba Gua
- Bojutsu
- Boxing
- Brazillian Jujitsu
- Capoeira
- Chin Na
- Escrima
- Fencing
- Francombat
- Hapkido
- Hung Gar
- Jeet Kune Do
- Judo
- Jujitsu
- Kail
- Karate
- Kendo
- Kenjutsu
- Kenpo
- Kickboxing
- Krav Maga
- Kung Fu
- Kyudo
- Muay Thai
- Ninjutsu
- Savate
- Shaolin
- Shorin Ryu
- Silat
- Taekwondo
- Tai Chi
- Varma Ati
- Wing Chun
- Yawyan
As for Sups, He's been taught by Muhammad Ali how to box way back when, anyway there's a whole trope based on it
Boxing Lessons for Superman - TV Tropes
EDIT: Side note: jason bourne knows to fight using a whole bathroom including the sink.