So here are the ones that exclude Melanite

Aquamarine + Zircon = Kyanite, Weapon: Guisarme, Dance:

Aquamarine + Agate = Spectrolite, Weapon: Morningstar, Dance:

Aquamarine + Kit = Black Star Diopside, Weapon: Chain-Blade, Dance:

Agate + Kit = Tiger's Eye Quartz, Weapon: Great-Sword, Dance:

Kit + Zircon = Apatite Cat's Eye, Weapon: Naginata, Dance:

Agate + Zircon = Pectolite, Weapon: Flanged Mace, Dance:

For those fusing with Zircon (me) I nominate these dances
Aquamarine: Ball-Room Dance
Kit: Waltz
Agate: Ummm... Idk