Clara's reaction to Scrooge giving her and Fred the Christmas presents. She's just so happy that he's there and her surprised smile just sets the whole thing up brilliantly. Doubles as a CMOF for Fred's face.
After Scrooge's conversion, he heads out "to wish Merry Christmas to all the world" and runs into Dr. Honeydew and Beaker (the charity collectors). He asks them to put him down for a very large amount, saying that "a great many back-payments are included." In gratitude, Beaker slips his scarf off and gives it to Scrooge, who is driven almost to tears and laughter by his first Christmas present in no doubt a very long time. Up to this point his attitude toward his own redemption has focused entirely (and quite naturally) on giving, with no thought to receiving. It's like this was the first moment he truly caught on to how love is supposed to be shared.
Scrooge: A gift...? A gift for me?
It's also important to note that until then, all Scrooge wore were muted colors and grey. The red scarf was a Splash of Color for Scrooge.
It's also heartwarming due to the fact that Beaker apparently flipped off Scrooge the last time he saw him. Now that he sees a changed man, giving him the scarf was the least he could do.
It's ridiculous, but I actually feel emotional when Scrooge is given the scarf. It means so much to him, just that one little gift. Michael Caine is brilliant in this.
Gonzo narrates the ending and Rizzo asks him, "but what about... Tiny Tim?", obviously worried. He is elated when Gonzo tells him Tiny Tim did not die! It's a very small but uplifting moment.
Another thing that makes the moment sweet is the fact that when Gonzo says this, he looks directly at the camera and says it very clearly. It's like he wanted to make absolutely sure that any children in the audience knew Tiny Tim would be okay. Awww...
"Bless Us All". The entire song. It's one of the best representations of the Crachit family ever done.
Scrooge remembering his childhood teacher (Sam the Eagle) and old employer (Fozzie Bear) during the climax and stopping by to give them gifts. Fozziwig's happy reaction at Scrooge's arrival is adorable.
"The Love We Found". It's just so adorable and heart-warming.
The entire "It Feels Like Christmas" song can give anyone the warm fuzzies. Even if you're not a Christmas person, you can't help but feel like singing along.
There's a moment during that song which is sweet and a bit funny, where the Ghost does a little dance and Scrooge imitates him.
Also Scrooge peeking in on Christmas Present and the mice celebrating Christmas. He can't help but smile at their sincerity as they sing.
Actually, the Ghost himself is probably a walking heartwarming moment. The Ghost of Christmas Past has no sympathy for Scrooge and the Ghost of Christmas Yet to Come is outright menacing. By contrast, this one is chuckling almost all the time he's around Scrooge. He really embodies the joy and brotherliness of Christmas, viewing Scrooge more a man who's gone astray, gently correcting him most of the time, and passing him off to the next ghost with an encouraging 'Go forth and know him better, man!'
Michael Caine's delivery of this line, chuckling with affection and reverence despite their vastly different management styles:
Scrooge: It's my old employer! As hard and ruthless as a rose petal!
In the opening number "Scrooge", as Scrooge is walking through the streets - he walks past a mouse who says "please sir, I want some cheese" and ignores her. During the "With A Thankful Heart" number, he can be seen giving the same mouse a block of cheese. D'awwwww.
Fred saying "Christmas is a loving, honest, and charitable time. And though it's never put a scrap of gold or silver in my pocket, I believe that Christmas has done me good, and will do me good, and I say, 'God bless it'!" And then the rat bookkeepers cheer.
Bob and Emily discussing Tiny Tim's behavior at church, leading to this line:
Bob Cratchit/Kermit: "He said he hoped people saw him at church because it would be good for them to remember, on Christmas Day, Who made lame men walk and blind men see."
Bob and Tiny Tim doing their "Christmas Scat." As Dickens put it in the book, the Cratchits may not have been handsome or well-dressed, but they were happy.
A cut verse from "Marley and Marley" actually manages to be this on some level—it can easily be read as the brothers sincerely telling their friend that it's not too late for him to redeem himself and be saved from the fate they suffered, which really hammers home how, as in the source material, this was likely their first and only true act of selflessness:
We're Marley and Marley And now it's time to part To go back where they keep our kind The wretched and the heartless The news we've shared has got you scared We're glad that we got through So make amends And make some friends The future's up to you!
Scrooge allowing Kermit and the bookkeepers to have Christmas off. It's a tiny hint that Scrooge isn't so heartless as he lets on.
Behind The Scenes:
Steve Whitmire said that he was very nervous about taking over as the voice of Kermit. The night before he began production, he had a dream that he met Jim Henson in a hotel lobby. He told Jim his fears and Jim assured him that he'd do just fine.
This review from the BBC explaining why it's become such a holiday classic:
"There have been countless variants of Dickens’ yuletide redemption story, including versions starring Mickey Mouse, The Jetsons and Mr Magoo. But the greatest of these by far is The Muppet Christmas Carol. Having Jim Henson’s famous felt creations anchor the film automatically punches up the fantastical elements of Dickens’ narrative – after all, this is a story of ghosts, magic and time-travel. But it is Michael Caine’s performance that makes it, and he acts opposite the Muppets as if they are flesh and blood. The seriousness with which he invests his performance makes it an explosion of emotion, a deeply felt interpretation of Dickens’ story rather than a parody of it – showing that the smartest way to renew a classic isn’t always with irony, but sincerity."