I finally got my first five-star drop while soloing LOA. I've never actually seen a 5* item drop during a prestige mission. Part of me was doubting they did, though it's probably because i see most good drops occur during FSC.

Here's what i've found so far, since i began playing during the Steam transition; the last three dropped recently. In retrospect, it doesn't seem like very much, considering how long i've been playing this game.

In chronological order:

Vitasuit Deluxe 4*
Crystal Bomb 2*
Salamander Suit 4*
Brandish 2*
Sinister Skelly Mask *4 (FSC)
Horned Owlite Shield *3 (FSC) (August 2012)

Scary Skelly Shield 3* (FSC) (2-3 weeks ago) (group)
Circuit Breaker Armor 1* (GiM) (3-4 days ago) (solo)
Graviton Vortex 5* (LOA) (solo)