If it's still available, Larvesta (F-31/10/31/31/31/31)
As far as 5IV shinies go I have:
two 5 IV shiny male Eevee's (one with 10 in Attack and the other 8 in Special Attack). Egg moves (Wish, Yawn, Stored Power, Synchronize).
Two 5IV male shiny Toegpi (28 in HP and 25 in Spec Def)--(Egg moves: Stored Power, Nasty Plot, Extrasensory, Future Sight).
Shiny Male Ralts (12 in Spec Attack)--(Egg moves: Destiny Bond, Synchronize, Shadow Sneak, Confuse Ray)
Other 5IV and 6IV's are available. These are just the main good IV shines