Gadgets 1

Batarang
It first appeared in the original Batman with its only use of being able to climb up walls as it had a rope attached to it. But in Tim Burton's film, the batarang was used as a fighting tool by using it grab and pull people back on the floor in hand as it had a line attached to it. In Nolan's film the batarang changed to be a simple bat shaped shuriken which was used for distractions rather than fighting.

Grapple Gun
It was not used in the original Batman. It first appeared in Tim Burton's film, this was used so Batman could swing about from A to B quickly making it easier than having to run everywhere like in the 1966 film. Nolan's reboot uses it again with pretty much the same shape and style of Keaton's Batman except it looks a lot more like a normal pistol adding to the realism Nolan's film had.

Binoculars
In Batman (1966) Batman uses tiny binoculars which would be impossible to see through showing the films silliest . Burton decided not to use any eye enhancing equipment. While in Batman Begins he uses an infra-red periscope which is more realistic as the military probably uses them to help him see things.

Batcape
In Batman (1966) the cape did not do anything but keep him looking like a superhero and not some random person in spandex running around. In Batman (1989) Burton chose to use the cape like a parachute which is how he was able to float down from tall buildings without falling fast. But in Batman Begins (2005) Nolan chose a more technological way to fly via memory cloth so when he puts an electric current through it can be shaped meaning  he shaped it like batwings and could fly.