Okay I am going to try... ANIMATED MOVIE STYLE. Ok to begin with, if Se is what I think it is, then this is how I experience it.

[YOUTUBE="http://www.youtube.com/watch?v=eownqeGOqcE"]Se - Oh de lally (from Robin Hood)[/YOUTUBE]
Not necessarily how I experience Fi, but as soon as I learned about Fi vs Fe I thought of this song.
[YOUTUBE="http://www.youtube.com/watch?v=5A_Rl8aQxII"]Fi - Reflection (from Mulan)[/YOUTUBE]
This one I'm not sure of... but I think it's Ni, the way I understand it at least.
[YOUTUBE="http://www.youtube.com/watch?v=44FH8SHoD00"]Ni - Something's up with Jack (from Nightmare before Christmas)[/YOUTUBE]
Not sure.
[YOUTUBE="http://www.youtube.com/watch?v=MVovQfq7U0w"]Ne - Belle (from Beauty and the Beast)[/YOUTUBE]
[YOUTUBE="http://www.youtube.com/watch?v=7v7m1XSrj6Q"]Si - Steady as the Beating Drum (Pocahontas)[/YOUTUBE]
And of course quite possibly the best song EVARRRRR...
[YOUTUBE="http://www.youtube.com/watch?v=Vi4o2cG_SsI"]Te - Poor Unfortunate Souls (Little Mermaid)[/YOUTUBE]
I couldn't think of one for Ti.
I have no idea if any of these make sense, because I'm still developing an understanding of the functions.
What do you think?
edit: I forgot Fe too! I fail...