Heartwarming: Kung Fu Panda: Legends of Awesomeness
In "Chain Reaction," Po is trying to climb a tree for something, only to fall and drag Tigress, who is chained with him, up and down the tree. Tigress, already hungry and annoyed at Po eating her lunch, is furious at Po putting her through that, until she realizes she is holding the apple that the Panda was trying to get for her. With that gesture, this is the point where she began thinking of Po as more than "the fat panda who took the Dragon Warrior title undeserved", and may have been the point where where the seeds of their possible romantic relationship may have been planted.
We will never forget what Po tell Tigress after she gives him a blistering speech about how he thinks everything's a game to him. Both learn to know when there's a time for seriousness and a time for fun.
Mr. Ping standing up the Furious Five when he knows his son is in trouble and needs help. Shows just how much he really cares about his son if he's willing to stand up to the five best martial artists in China.
In "Owl Be Back" Tigress gleefully hugs Shifu when she realizes he's not dead.
The end of the "Ghost of Oogway", after Shifu and Po reconcile. Po asks Shifu how he knew the titular ghost wasn't the real Oogway, to which Shifu replies that Oogway would never say the word "awesome." The scene then pans to the peach tree where Oogway was last seen, with the old master watching from afar. His last words, spoken with a smile on his face, before fading away?
In "The Kung Fu Kid", we see Tigress being extremely friendly and affectionate with Peng, not only admiring his kung fu and performance in the training hall but also listening to his stories and laughing at his jokes. Then at the end of the episode we learn Peng is Tai Lung's nephew. Which means, by adoption, he is Tigress's as well.
All of Po and Song's budding friendship (or possibly more), and her departure at the end of "Ladies of the Shade".
Po and Shifu having their action figure fight at the end of "The Maltese Mantis".
Crane's mother seeing her son use kung fu (even though Crane feared she would have a heart attack seeing him do it due to mothering him all his life), but actually enjoying seeing him use it against the wolf thieves. Their good-bye is even sweeter, since Crane now knows what his mother knows of him doing for a living yet supporting him.
On that note, when the bad guys of the week arrive and start wrecking the place, Crane tries keep up the illusion that he's not a kung fu master. When one of the baddies dares to hurt his mother, however, he promptly beats the stuffing out of the guy.
Fung and Gahri making up at the end of The Breakup. Gahri gets Po and Mr. Ping out of trouble by revealing that the vase that was stolen was actually fake. Then after Gahri reveals to Fung that the vase was actually real, Fung reveals that he missed his friend and welcomes him back into the gang. All goes well...until the vase breaks, making them huffy again. Though Fung does finally call him Gahri instead of Gary.
"Po Picks A Pocket", from start-to-finish, is a treasure trove of this and Tear Jerkers.
"Crazy Little Ling called Love" also has plenty of these. When Shifu announces his retirement, you see Po act devastated because on how much he means to him and the five. Po also warns Ling not to hurt Shifu or else she'll pay dearly for it. She remarks on this by saying how lucky Shifu is to have a friend like Po.
We also see the extent Ling and Shifu care for one another. Shifu attempts to re-steal an artifact that Junjie is after so Ling doesn't have to pay. Furthermore, both Po and Ling try hard to stop him and we see that Shifu wants to try and live for love for once. He also brings back the matter of finding happiness, something which Po remarked on in concern back in Ling's first appearance.
Also, just the end. Despite Ling being in prison, she and Shifu manage to have their picnic together. The fact she more or less turned herself in as well as catch Junjie was one, showing that the two's love overcame what divided them when they were younger.