In a nutshell: Lady & the Tramp says that there is value in loyalty to someone you love, regardless of how important you are to them—and so is Bolt.
The Lion King says you have an identity that you don't get to define for yourself; you only get to accept it or reject it; the sooner you accept it, the better off everything will be—and that's what Moana says (much more imperfectly,) too.
(now, The Lion King is really more epic in scale, and it's more about who a King's Son, a selfless leader, is supposed to be—while Moana shades itself waaay too much with notes of "everyone gets to make themselves whatever they want." But broad-strokes, Moana is still saying something very similar to the Lion King.)
Basically, Mufasa's ghost insisting to Simba that he is "more than what he has become" implies that, even though Simba chose to be a shaggy hippie hiding in the jungle, it was the wrong choice. He wasn't actually changing who he was—because he can't do that—he was just playing pretend. Warping and twisting and hiding his true identity under layers of denial and the illusion of "choice." And the fact that it's coming from his father, and that unique relationship where a son is a Little Version of the father, weaves a whole new intrinsic layer of Undeniable Identity Outside Yourself into it.
The more you look into that aspect of it, the more Moana's faults start to stand out. But they're not many, and like I said...broad-strokes, they have the same bones. Te Fiti had a true self she was forgetting, instead of the one she "chose." But, Moana tells Maui he makes himself whoever he wants to be. Anyway.
Also I'd just like to point out that Bolt is the modern Lady & the Tramp and Moana is the modern Lion King, pull on the thread if you don't understand why
"Reflection" Mulan (specifically if you're transgender)
"I'll Make A Man Out of You" Mulan (the transmasc euphoria song)
"Jack's Lament" the Nightmare Before Christmas
"Part of Your World" the Little Mermaid
"God Help the Outcasts" the Hunchback of Notre Dame
"I'm Still Here" Treasure Planet (specifically my transmasc anthem but my experiences are not universal)
"Out There" the Hunchback of Notre Dame (when you're closeted)
"Waiting On a Miracle" Encanto (when you're queer and religious)
"One of Us" Lion King 2
"How Far I'll Go" Moana ( when the people who raised you wouldn't let you be exposed to any queer media)
"Colors of The Wind" Pocahontas (the only good thing the Pocahontas franchise brought us was the soundtrack. When my friend was closeted she said to a girl who was being blatantly homophobic " you think the only people who are people are the people that look and think like you." Stopped her in her tracks!)
"Kiss the Girl" the Little Mermaid (but specifically when. You know what I mean lmao)
"When Will My Life Begin" Tangled
"Go The Distance" Hercules
"I Won't Say I'm In Love" Hercules
"One Jump Ahead (reprise)" Aladdin
"Proud of Your Boy" Aladdin Broadway musical
"If I Never Knew You" Pocahontas
Do feel free to add. Just don't let Disney see this