Please don't list this on a work's page as a trope. Examples can go on the work's YMMV tab.
Tear Jerker: The Wild Thornberrys
"Forget Me Not", which has Eliza meeting an old elephant that her father befriended as a young man. She (the elephant) dies peacefully of natural causes at the end of the episode.
The Wild Thornberrys: The Origin of Donnie.
The episode where Eliza and her father go hiking into the mountains. Eliza wants to explore more than just the trail, and finds her father's behavior—even if it's just them up there—highly embarrassing, so she sneaks away. She ends up too far, too high up, nearly suffocates and dies, but wakes up in a cave, warm and safe. She thinks it's a group of Natives who saved her, but her alpaca friend tells her no, it was her father. Once he realized she was gone, he went right off the trail and didn't stop looking for her til he found her, and then kept carrying her til he found a place they could rest safely. Just...such a display of fatherly love...*sniff*
"Marianne? Thank goodness you're here...come to Nigel. Oh, don't cry, sweet wife. Always remember that I love you and the children with all my heart." That he's delirious and saying this to a (displeased) little jungle mammal doesn't really diminish its emotional impact.