Why does Charlotte go to all this trouble for "some pig?" Because he's her friend, and that's all the reason she needs. Or to quote the book...
Wilbur: Why did you do all this for me? I don't deserve it. I've never done anything for you.
Charlotte: You have been my friend. That in itself is a tremendous thing.
In the live action film, the way Charlotte lands on Wilbur's snout is very...sweet. Just something heartwarming that deserves mention.
In a cross between Heartwarming and Tear Jerker, the 1973 adaptation shows a montage of Wilbur and Charlotte's time together as she sings her final song in the last moments of her life.
Blink and you'll miss it: In the 1973 adaptation, Henry Fussy gets back to town from visiting his grandpa just in time for the fair. He takes Fern on the Ferris Wheel, and when the height frightens her, Henry puts his arm around her. In response, Fern moves closer and gives him a very sweet look.
In the 2003 DTV sequel, we have Wilbur's friendship with Cardigan, a black lamb neglected by his own kind. Wilbur was one of the few animals on Zuckerman's farm to befriend him, knowing full well what it's like to be the runt of the litter (or in Cardigan's case, the Black Sheep) and to be denied the company of others.