For me it has to be the Christopher Nolan / Christian Bale Batman Trilogy. I love everything from the story line to the details to the overall look and feel of the films. Also these 3 films were the main reference points for Gotham TV series.
The Tumbler is also my favourite Batcar, it was so cool to see it in real life at Warner Bros Studios Tour in Burbank, LA.
It will be interesting to see the direction of the next Batman film with Robert Patterson. He will always be Edward Cullen to me, so I'm hoping the Batman film will be a big enough storyline so that we only see Bruce Wayne and not Edward Cullen.