Best qira accesory/armor for every division?

Reminder that you can do The Qira Hive multiple times on each class to buy all the ones you want. Defeating the division bosses also give you catalysts that let you exchange the items you have for vouchers that let you buy something else.

As for your main question, I personally recommend in no particular order:

• Moon Pool Circlet
• Breezehands
• Cinderchain
• Sparkling Visor
• Bottled Thunderstorm
• Contrast
• Prowess

Prowess isn't as meta as it once was, but it's still useful if strapped for skill points. Contrast is much more useful as it's free stats and doesn't require any skill points to equip.
As for tri-elemental armor pieces, they're highly situational and depend on your current build. Unlike elemental equipment, you can exchange Master Hive equipment however you like, since there isn't an associated catalyst cost.

And stay away from the weapons for the most part.

 

I deliberately omitted Intensity because it's also powercrept, and there's no reason to waste a Master Hive slot when that slot is better used by a tri-elemental armor piece or Contrast.

I do agree that it needs a buff.