Age 6:
Bruce as a young boy discovers by accident the huge underground caves beneath Wayne Manor. These caves will later be transformed into the "Batcave". During the accident he´s frightened by a swarm of Bats.
(Source: The Man Who Falls)
Age 7:
Bruce had a childhood friend named Mallory Moxon, the daughter of crimeboss Lew Moxon and eventual heir to his criminal empire. Mallory would often spend her summer days with Bruce, as their respective families conversed buisness. Later on, when Bruce would lose his parents at age eight, Mallory was one of the first people to reach out and help him... but the broken and distraught young man turned her away, leading to the first signs of Batman's reclusive nature.
(Source: Batman 591, by Ed Brubaker and Scott McDaniel
Bruce befriends Tommy Elliot whom he met at private school. They became close, until Tommy's father died, under the care of Thomas Wayne, and he moved away with his mother.
(Source: Hush)
Age 8:
When Bruce was eight years old, on June 26th
(Batman Confidential #14) his parents took him to a screening of "The Mask Of Zorro" or "The Mark Of Zorro" at a cinema in Gotham's Park Row. Returning to the car, they were confronted by a lone gunman "Joe Chill" , who tried to steal Martha's pearl necklace, an anniversary gift from Thomas. In the ensuing struggle, the thief shot both the Waynes (later versions of the story claimed that only Thomas was shot and Martha had in fact died of shock. This retcon was still later undone). In the wake of this tragedy, Park Row was given the nickname "Crime Alley."
In Jeph Loeb's Batman stories, Bruce feels responsible for his parents' murder because he advised Martha to wear the infamous pearl necklace the night she was murdered. Had she not worn it, the mugger might have not killed them, or even have been attracted to them.
It is also hinted that mob boss Lew Moxon hired Joe Chill, to murder Dr. Thomas Wayne. Joe Chill is up to this day not officially identified as the killer and the case of the Wayne murders is technically " unsolved" .
After Bruce watched his parents die and the police responded a young officer named James (Jim) Gordon embraced the young man whose world just collapsed. Young Bruce rode in the car with Officer Gordon to stateley Wayne Manor where the family butler Alfred Thaddeus Crane Pennyworth (a former english actor and MI 6 Agent) met him at the door and attempted to comfort Bruce Wayne.
Training:
Age 16
Bruce Wayne began his global sojourn, attending courses at Cambridge, the Sorbonne, and other European universities. However, he never stayed long and would often drop out after one semester. Beyond academia, Wayne acquired more "practical" skills.
While abroad, Wayne learned 127 major styles of combat, from Aikido to Yaw-Yan to Ninjitsu. Frenchman Henri Ducard made him an apprentice in manhunting. The ninja Kirigi, and other ninja shadow masters, schooled Wayne in stealth and the ways of the shadow warrior. African Bushman (the Ghost Tribes of the Ten-eyed Brotherhood, among others) taught hunting techniques, while Nepalese monks revealed healing arts.
Batman: The Ultimate Guide to the Dark Knight He even learned ventriloquism from practioners of the art. His knowledge of so many varied disciplines has made Wayne an unconventional and unpredictable opponent. When he was 20, he attempted to join the FBI, but he learned it would be impossible to fight crime and evil within the legal system.
http://en.dcdatabaseproject.com/Batman_(Bruce_Wayne)
Age 20:
After realizing he could not work within the system for the FBI, he turns to traveling foreign countries. His first stop was a temple in the Paektu Mountains in Korea where he trained for nearly a year under Master Kirigi. When finding out his training would require another twenty years, an impatient Bruce left to his next destination: France.
Source: The Man Who Falls
During his early days traveling the world, in France, Bruce approaches Ducard for training in Paris. Ducard, a detective with excellent man hunting skills, imparted much of his knowledge to the young, Bruce.
Later in the series, it is revealed that Ducard is largely amoral, working for criminals as often as he does the law. He deduces Batman's secret identity, but keeps it to himself.
Source: Detective Comics #599 or Blind Justice TPB
