Well, what do you need them for? That's the question that really needs to be answered. If no reason, then I guess here are the ones that I find catchy:
Chrono Trigger:
"Yearnings of the Wind" aka 600 AD.
"Robo's Theme" aka Rick Roll [http://www.youtube.com/watch?v=cmY2wf7T428]
...I know there's more, but it's been a while.
Final Fantasy IV:
"Dancing Calcobrena"
"Theme of Love"
"Rydia's Theme"
"Lunar Whale Theme"
The standard battle and boss battle themes
"Golbez's Theme"
"Mystic Mysidia"
"Palom & Porom"
"Red Wings Theme"
Final Fantasy III:
The standard battle theme
...Yeah, I hated this game. So much that I don't really remember the music to it.
EarthBound:
"Pollyanna"
"Eight Melodies"
"Humoresque of a Little Dog"
"Snowman"
"New Age Retro Hippie" aka Probably one of the most fun pieces of music ever [http://www.youtube.com/watch?v=Mo8rU7VjJ9Y]
"Smiles and Tears"
And practically every other song in every Mother game. Ever.