I just showed the Keaton Batman to a friend of mine who had never seen it. She loved it. Keaton is great, but Jack really steals the show. The plot is a bit messy, but Nicholson is given so much freedom that he is a joy to watch. I wonder how many of his lines were improv. Also, the movie is gorgeous to look at, even if Gotham city seems to have only one set, and we are shown the Monarch Theater so many times. The music is still the definitive Batman theme for me, what a score! My favourite shot in the film is the Batwing flying up in front of the moon, it always makes me laugh. There are some very obvious miniatures during the end sequence but that's alright.
Watching these Burton films made me realize just how many scenes are repeated in the Nolan films.
The Joker doesn't care about money
In Tim Burton's Batman, we are shown the Joker throwing away money during the parade scene.
In Nolan's The Dark Knight, the Joker burns a huge pile of money.
The Joker sends out a television message to the people of Gotham
In Burton's Batman, The Joker sends out a television message, challenging Batman to reveal his true face.
In Nolan's The Dark Knight, The Joker does exactly the same. Threatening to kill more people unless Batman reveals himself.
Love interest learns Bruce's identity through a familiar phrase
In Burton's Batman Returns, Selina learns Bruce's secret identity through the phase: "Mistletoe can be deadly if you eat it." "But a kiss can be even deadlier if you mean it."
In Nolan's Batman Begins, Rachel learns of Bruce's secret identity through the phrase: "It is not who I am underneath, but what I do that defines me."
The Batmobile transforms into other vehicle
In Burton's Batman Returns, the batmobile discards most of it's body to transform into a small pod.
In Nolan's The Dark Knight, a destroyed batmobile self destructs after ejecting the batpod.
Joker falls to his death
In Burton's Batman, the Joker fall to his death (twice).
In Nolan's The Dark Knight, the Joker falls to his death, but Batman catches him.
The Joker walks into a mob meeting and kills a mobster
In Burton's Batman, The Joker electrocutes a mobster with a handshake and takes over their operation.
In Nolan's The Dark Knight, The Joker kills a mobster with his pencil trick, and persuates them to join him.
Batman crashes during the final confrontation with the Joker
In Burton's Batman, the Batwing misses every shot at the Joker and crashes after being shot down.
In Nolan's the Dark Knight, Batman chooses to miss the Joker and crashes the Batpod.
I'm Batman!
Quoted both in Burton's Batman, and in Nolan's Batman Begins, and both to a random thug.
Batman takes his love interest to the Batcave
In Burton's Batman, he takes Vicky to the Batcave in the Batmobile, after saving her from the Joker.
In Nolan's Batman Begins, he takes Rachel to the Batcave in the Batmobile to save her life.
(Also, both love interests receive an antidote to a toxin central to the plot)