The relationships that didn't make the criteria:

Remember...

Storge is a family love. Blood is thicker than water. The special bond you have with someone that is like family.

Eros is a romantic love. You think about someone in a sexual/romantic way.

Philos is a friendship love. You love your best friend with this because of certain qualties and the ability to share who you are with them.

Agape love is an all consuming, commitment love. You would do anything for them. You love them not because of feelings but you KNOW you love them. It's a decision to love unrequitedly. And it exceeds all loves, because there is nothing that can stop this kind of love.

-------------------------------------------------

Jet loves Smellerbee with a storge love and a philos love.

Smellerbee loves Jet with a storge love, a philos love and an agape love.

Jet loves Longshot with a storge love and a philos love.

Longshot loves Jet with a storge love and a philos love.

Zuko loves Iroh with a storge love, a philos love and an agape love.

Zuko loves Azula with a storge love.

Zuko loves Mai with a storge love. (they grew up together, but I'm really stretching here to even get that... sorry ZuMai fans, don't give up hope!).

Zuko loves Katara with... TBA. They barely know each other and certainatly don't love each other with ANYTHING yet. Not even eros.

Zuko loves Toph with a... ditto.

Zuko loves Jin with an eros love and a philos love.

Sokka loves Katara with a storge love, a philos love and an agape love.

Sokka loves Toph with a storge love and a philos love.

Sokka loves Ty Lee with an eros love.

Sokka loves Suki with an eros love and a philos love.

Sokka loves Yue with an eros love and a philos love (and possibly an agape love).

Toph loves Sokka with a storge love, an eros love and a philos love.

Toph loves Suki with a philos love.

Toph loves Katara with a philos love (and possibly after their bonding two episodes ago, a storge love).

Toph loves Aang with storge love and a philos love.

Katara loves Jet with an eros love.

Katara loves Haru with a philos love.

Katara loves Teo with a philos love.

Katara loves Sokka with a storge love, a philos love and an agape love.

Momo loves Appa with a storge love, a philos love and an agape love.

Appa loves Momo with a storge love, a philos love and an agape love.

-------------------------------------------

Ah, the perils of unrequited love (well... eros love anyway) otherwise Toph and Sokka MIGHT make it onto the list.

Which means I have one more (obvious) couple to put up.

Unless there are any other relationships I haven't thought of to explore... let me know.