As times change the characters we love must update to stay relevant. The character of Batman has been reinvented multiple times both between and within the various media in which his stories are told. It is important to take into account which version of a given character is used on Combatic.
In Batman Begins and The Dark Knight, director Christopher Nolan has weaved the Batman mythos into a real world setting. This Batman can bleed. He has a batmobile that is a tank, more believable than the slimmer yet just as indestructible cars of the past. He must deal with political issues that arise from a drop in crime rate and the consequences of his actions.

The earlier Bat flicks had more of a fantasy element. There were conscious penguins, healing cats, and a brain-draining Riddler. (I’m pretending Batman & Robin didn’t happen.) This Batman could do stunts that wouldn’t work in the real world in order to deal with his more supernatural rogues gallery.
Adam West pioneered the character in a more light-hearted fashion. He was just as concerned about teaching lessons to his boy companion as he was about saving Gotham. The dark motives behind the character seemingly ignored as he played a role more cop than vigilante.

To give you an idea of what the comic book’s Batman is capable of, I give you his most recent story line. Bruce countered an attack on his psyche by preparing a back-up consciousness to save himself. (See Batman R.I.P.) He then single handedly saw through an illusion created by evil Gods meant to steal his memories and confronted the most powerful alien/God/villain in Superman’s universe and shot him for enslaving the majority of the human race. Dying, temporarily, in the process.

That said, if I put Nolan’s vision of Batman against Adam West, Bale would kick ass. (Unless West used an anti-Christian Bale spray from his utility belt.) However, if the Batman who is accustomed to leading the Justice League faced off against a doppleganger, he would find a way to win against any Bats from the silver screen.

An explanation as to why I am usually specific in my choices. That is all.