A lot of great ones have already been mentioned, and I know I’m repeating some - I could also go on forever, but I’d better limit this to a few things:
Regarding Dug: Well, practically everything about Dug! But, specifically, discovering that Dug caused the rockslide to stop the pursuing dogs, and his big “Awww…” line: “I hid under your porch because I love you.” By the end of Monsters, Inc., Pete Docter had convinced me that I wanted to take Boo home. By the end of Up, he had convinced me that I wanted to take Dug home.
Pixar Action Set Piece of the film!: The chase sequence with the dogs pursuing them through the canyon, with Carl riding Kevin, towing the house, and Russell swinging at the end of his tether, while Kevin leaps from rock to rock - that had me giddy!
Seconding one from Castoro Chiaro: Muntz setting fire to the house! That was a real, gasp-inducing, “Oh, my gosh, this guy means business!” moment.
Too much Carl and Russell to narrow it down, but I agree with a lot of what has been previously mentioned. I will add, I loved Russell flying with the leaf blower, and the whole running thing about him being “the Small Mailman.”
I’m sure I could come up with more, but I’d better stop there.
Edit: One more I forgot to include yesterday:
[spoil]The first scene with Kevin being chased by the dogs - the way they managed to “tease” us with the bird, without letting us really see it just yet.[/spoil]
And I know there’s another one I keep meaning to mention and keep forgetting…