These are all the techniques and skill Arkham Batman has through out the series. The person who made this, I don't know their name is a martial artist and spent time just watching Batman's choreography throughout the 4 games just to do this. They tried to avoid too much overlapping in technique so while Batman may do a move that exists in a certain style, it's not predominant enough for me to consider adding to the list.
Batman Shows The Physical Art Of:
Panantukan
Kali
JudoKarate
Aikido
Ninjutsu
Hanbojutsu
Shurikenjutsu
They didn't add each individual "jutsu" subsection that can be lumped in with Ninjutsu, but they did highlight his use of Intonjutsu, Shinobi Aruki, Shinobi-Iri, and Hojojutsu)
Laido
Taekwondo
Taekkyeon
Hapkido
Kung Fu (This includes Tai Chi. If you wanna know why I put them together it's because Tai Chi is meant to be "shadow boxing" for Wushu (the more accurate name for Kung Fu), not its own self defense discipline.)
Muay Thai
Muay Boran
Lethwei
Silat
Krav Maga
Base Jumping
Parkour
Gymnastics
Boxing
Wrestling (Greco-Roman style seems to be pretty predominant)
Catch Wrestling
Brazilian Jiu-Jitsu
Capoeira
(I mean his accuracy with the REC also suggests he's good with firearms and in the comics he's one of the world's top 10 Marksmen so I suppose we could add this)
For Non-Physical Knowledge, He Has:
Cryptography
General Chemistry
Advanced Biology
Anatomy
Advanced Physics
Mechanical Engineering
Electrical Engineering
Civil Engineering
Tactical/Defensive Driving
Piloting
First Aid
Tracking
Computer Science
Criminology
Ballistic Forensics
Forensic Pathology
Forensic Toxicology
Digital Forensics
Data Analysis
Bioinformatics
Data Science
Networking