Everyone loves Eve she's in two ships *shot*
[s]
Wow I remember when the two most popular Eve ships were Amber X Eve and [i]Emerald[/i] X Eve...My how the times have changed.[/s]

Since I can't relate much outside of BrOTPs when it comes to shipping, let's just crack-ship instead...

Eve X Emerald

Bloodstone X Reggie

Bloodstone X Homeworld

Aquamarine X Earth 

Eve X nOPE

Spinel X nOPE

Chromite X Spinel

Mars X Tiger Eye

Emerald X His voices

Gilles X Internet

Johnny X Van

Dr Pepper X An actual can of Dr Pepper

Talc X Chainsaw

Amber X Kilt

[s]This got weird really fast[/s]