I'm going to refrain from mentioning a certain choice because it's too obvious even for me

- Best Time (do scrapped songs count?)
- The Circle of Life / Grandma's Lullaby
- Always There
- No One Has To Be Alone
- both versions of Bestest Friends
- Things Change
- Look for the Light
And some honorable mentions for the sequels that didn't get on the list, and runner-up songs from the sequels that did:
II: Peaceful Valley (Eggs in regards to being entertaining, though)
III: Kids Like Us
IV runner-up: It Takes All Sorts
V runner-up: Big Water (not that I like it, but I like it more than Friends for Dinner)
VI: The Legend of the Lone Dinosaur
VII: Very Important Creature
VIII: Family
IX runner-up: Big Water reprise
X runner-up: Adventuring
XI: Girls and Dads
XII runner-up: One of a Kind
XIII: Yellow Belly Bounce (I know, I know; seriously though, there's something enjoyable there once you look past the fact that yellowbellies are dancing and squeaking over it)
JotB runner-up: Better Off Alone