Maz handing Luke's lightsaber to Leia:
(from trailer 2.)

JJ Abrams on why it was cut:
“That was a scene actually filmed, but we took out," he confirmed. "At one point, Maz used to continue along with the characters back to the Resistance base, but we realized that she really had nothing to do there of value, except to have her sitting around. Lupita did film scenes on set for that sequence, but it felt like going right just to go left, and it was unnecessary. So we ended up leaving those things out.”
Kylo Ren igniting his lightsaber in the snowy forest:
(from trailer 1.)

Ironically, probably the most talked about shot from the first teaser trailer didn't make it in.
Various dialogue from trailers:
Rey: "There are stories about what happened."
Maz: "Who are you?"
Rey: "I'm no one."
Maz: "Just let it in."
Finn: "I've got nothing to fight for."
Post whatever else you may have noticed.