I thought this little exerpt was very interesting:
"The grim purpose that burned inside him was growing, demanding direction, seeking release. He looked further, to the East. He learned karate from an ascended master in the Paektu-San mountains of Korea--Savate from a convicted killer living as a beach bum on an island off Borneo. Six months in a japanese hermitage taught him the value of Judo and Ju-jitsu. From a chinese woman so old she should have been dead, he learned the secrets of the Tao, that nothing is fixed, everything is fluid, everthing is energy. He mastered a dozen disciplines, experimented with them and fused them into something that was uniquely his own. In Africa he learned how to read the environment for the signs man's passage leaves--how to find and follow a trail to which ordinary men were blind...The ninjas taught him their secrets--how to use the shadows, how to employ psychology to win the battle before it's even fought--the precautions to take when you make yourself a target--and how to use fear." - Shadow of the Bat #0
Flashback to his training as he's shown kicking down a tree (Batman Black and White)
Tsunemoto (the most deadly martial arts assassin of the Yakuza) teaches him how to anticipate his opponents moves against various enemies plus the secret of spiritual healing techniques. Later on, Tsunemoto comments Bruce was his best student (Detective Comics #599)
Receives training under Kirigi for a year, an old martial arts master that very few people in the world have had the privilege to study with. Kirigi comments that Bruce has a natural genius for mastering combat techniques due to the great violent nature inside him (Secret Origins of the World's Greatest Super Heroes)
After his back is broken, he seeks out training from Lady Shiva to regain his physical prowlness and mastery of martial arts. Shiva is regarded by many as the world's deadliest martial arts assassin who Batman considers to be one the very few martial artists in the world that is his equal if not slightly better (Batman #509)
We see Batman having a flashback of his training with David Cain as he's sparring with Cain's daughter Cassandra Cain (Batgirl) who's one of the best martial artist alive. David Cain taught Batman martial arts, weapon mastery, and fighting tactics. He's known by many as being one of the best assassins in the world also having invented a unique fighting style that involves the reading of body language. Here we see Batman defeat Cassandra in the sparring contest by using a modified deadly nerve strike (that was taught by Cain) to paralyze her. Being that violence is Cassandra's main form of communication (plus she was unable to talk at the time), it was the only way he could "speak" with her since she can read body language which enables her to anticipate attacks before her opponents make them (Detective Comics #734).
After having his back broken and having trained with Shiva, the latter arrange for Batman to face seven master martial artists, each being better then the previous one. Here is the Dark Knight's clash with the third of said masters, where he escape the trap set up by his opponent and straight up beats him (Batman: Shadow of the Bat #29)
Battles the last and best of the seven master martial artists, is able to skillfully break free from a hold he's put in by the strong master ninja, gets the better of him, and finish him with the deadly Leopard Blow attack modified to knock the ninja out instead of killing him (Batman: Legends of the Dark Knight #62 and Robin v2 #8)
Tracking down a killer who used the chest pentration technique that makes a mark on the victim's chest look like they were killed by an axe. Only 4 people in the world know how to use this move with Batman revealing to being one of the 4.
Using the two most deadly nerve strikes in all martial arts against a magically invulnerable opponent (the strikes have no effect on the guy due to his magical invulernability)
Batman faces the leader of an Elite Commando charged with taking Gotham vigilantes out. Said leader is good, described by Bats as an "expert in hand to hand combat that hits like a truck", but the Dark Knight still ends up manhandling him (Batman: Outlaws #3)
Defeats Dan Kingdom former Green Beret and 9th degree black belt also a master of the deadly Leopard Paw Knuckle strike technique thats blocked and countered by Batman in this battle (Manhunter Special Edition #1)
Defeats Dan Kingdom former Green Beret and 9th degree black belt also a master of the deadly Leopard Paw Knuckle strike technique thats blocked and countered by Batman in this battle (Manhunter Special Edition #1)
Defeats Priest a young soldier with impressive martial arts skills on par with the young Batman's. He was an undefeated fighter obsessed with finding worthy opponents to test his skill (Legends of the Dark Knight #136)
Defeats Dragon (a martial artist nearly equal to Batman) on a mental astral plane they're both locked in. As a result, Dragon realizing he can't win kills himself (Legends of the Dark Knight #53)
Defeats Freeway a highly skilled martial artist trained by legendary ninja master Asano Nitobe. According to Suicide King, he is known around the world as one of the best with only a handful of people being as skilled as him (Batman Family #8)
Master Haim showing off his skill level proving to be one of the best in the world as he easily defeats 2 of the best martial artist around then drops Oliver Queen (Green Arrow) with a touch of his finger (Legends of the Dark Knight #125-126)
Here we see a young Batman defeat Haim in a hand to hand contest by blocking the hungry cobra death strike a move that only 7 people in the world know how defend against (Legends of the Dark Knight #127)
Stalemates Bronze Tiger until he's taken down by a traquilizer dart. Bronze Tiger is recongized as one of the premier martial artist on earth he's responsible for training the legendary martial artist Richard Dragon. (Detective Comics #485)
Battling Lady Shiva in a hand to hand contest with Batman amazed that they're both evenly matched in skill. Ending the stalemate, Robin minorally interfers giving Batman the opening to take her down (Batman #427)
In a steel cage blinded with masks over their faces, he battles his former mentor Wildcat and quickly deduces that he's fighting Wildcat by his fighting moves then holds back. Once he realizes Wildcat won't listen to reason he puts Wildcat down with a punch knocking some sense into him (Batman/Wildcat #3)
The following website is the most comprehensive Batman Respect Website I've ever seen. It has EVERYTHING (even the PIS-ridden Jeph Loeb bullshit showings like Batman knocking Deathstroke out with a jab....):
This feat is freakin' unbelievable. Here, Bruce is hiding in a tree, and a bow is shot at him without him being aware of it. Then, before the bow can reach him, he tosses a batarang at it casually, splits it in half, and splits the bow in half as well. This just goes to show how awesome Batman's reflexes/reaction speeds and accuracy are.
I am basically a marevl fan but i have to say batman is qauite hard -he would be a good match for someone like Daredevil. Against the likes of Spiderman though, no chance