So, to summarize what we've found in this thread (of course, I added some of my own examples, as I have a bunch of BTS material from the film):
(Alternate/deleted scenes)
Tumbler plowing into parking garage (slightly extended shot from Comcast trailer)
Knife stuck into Brian Douglass's body instead of pin (promotional picture)
Bruce and Harvey having a toast at penthouse party (Wizard World footage)
"Then you're gonna love me." (deleted shot during party crash scene)
The Joker in vehicle after party (promotional picture; on-set footage)
Harvey straightning his tie before getting on stage at press conference
Alternate shot of Batsuit rising from the floor (Wizard World footage)
Tumbler leaving Batcave (Batman Tech television special)
Joker flinching when firing the rocket launcher (slightly extended shot from Trailer #1)
Extended shots of Batpod racing through mall (Batman Tech television special)
Long shot of Joker confronting Batman after tractor-trailer crash (Trailer #1)
Alternate shot of Joker producing knife and flipping it to other hand after Batpod crash (Trailer #3)
Inmates gathering to look at the Joker (Trailer #1)
Long shot of Joker in cell (Wizard World footage)
Batman jumping over cop cars on way to the Batpod to save Rachel (Wizard World footage)
Alternate shot of MCU windows blowing out (Wizard World footage)
Joker hanging halfway out of police car after escape (slightly extended shot from Trailer #1)
"This town is mine now." (deleted shot during money-burning scene from Domino's trailer)
Joker turning his head inquisitively during final confrontation (TV spot #14)
Alternate shot of Gordon readying axe to destroy Batsignal (with Mike Engel)
Extended final shot (Comcast IMAX featurette)
(Newtypejuggalo's post)
Lucius showing a newspaper to Bruce in Hong Kong
Alleyway shootout after the funeral scene
Fake Batman fighting the Joker in police uniform
Berg being arrested by Gotham P.D.
Bruce Wayne visiting hospital
Bomb truck pulling up to the hospital
(Alternate lines)
"It's simple. Kill the Batman." (alternate take during mob meeting scene)
"Good evening, ladies and gentlemen. We are tonight's entertainment." (TV Spot #1)
"I'll settle for his loved ones!" (deleted dialogue during party crash scene)
"You've got a little fight in ya. I like that." (alternate take during party crash scene)
"You've changed things. Forever. There's no going back. To them, you're just a freak...like me!" (alternate dialogue during interrogation scene from trailers)
"You'll see. I'll show ya." (alternate line during interrogation scene)
"I love this job!" (alternate dialogue during convoy chase)
"This city deserves a better class of criminal...and I'm gonna give it to them." (Comcast trailer)