Yo, leave some for me! *ties ropes around hands, Akuma style*
So, who all wants to see Eevee have a evolution for each of the other 16 types?
I really don't see the reason why it couldn't... for the bug evolution, Eevee would evolve into it by leveling up in a place specializing in bug types, like a giant hive, or having it hold a Energy Honey (I made this up on the spot!) & either level it up or trade.
(Hmm... having a bee-based evolution would be VERY fitting for the Eevee family, with all the fur...)
& because Pokemon can potentially evolve twice, I have ideas for evolutions of the Eeveevolutions:
Oceaneon (From Vaporeon)
Lighteon (from Jolteon)
Volcaneon (from Flareon)
I have more ideas, but these will do for now...