Hey /vp/, I have a box full of a bunch of different legends. All are shiny and have the following sets (Groudon and Kyogre have Ability Capsules since Orbs don't go over GTS):
Entei @ Choice Band
Ability: Pressure
EVs: 252 Atk/4 Def/252 Spe
Adamant Nature
- Sacred Fire
- Bulldoze
- Iron Head
- Stone Edge
Raikou @ Leftovers
Ability: Pressure
EVs: 4 Def/252 SpA/252 Spe
Timid Nature
IVs: 0 Atk/30 Def
- Calm Mind
- Thunderbolt
- Hidden Power Ice
- Volt Switch
Suicune @ Leftovers
Ability: Pressure
EVs: 252 HP/252 Def/4 SpD
Bold Nature
IVs: 0 Atk
- Calm Mind
- Roar
- Scald
- Rest
Lugia @ Leftovers
Ability: Multiscale
EVs: 252 HP/160 Def/96 Spe
Bold Nature
IVs: 0 Atk
- Ice Beam
- Roost
- Whirlwind
- Toxic
Ho-oh @ Life Orb
Ability: Regenerator
EVs: 248 HP/196 Atk/64 SpD
Adamant Nature
- Sacred Fire
- Brave Bird
- Recover
- Thunder Wave
Zapdos @ Leftovers
Ability: Pressure
EVs: 248 HP/176 Def/68 SpA/16 Spe
Bold Nature
IVs: 0 Atk/30 Def
- Volt Switch
- Hidden Power Ice
- Defog
- Roost
Articuno @ Life Orb
Ability: Pressure
EVs: 252 SpA/4 SpD/252 Spe
Timid Nature
IVs: 0 Atk
- Freeze-Dry
- Hurricane
- Ice Beam
- Roost
Moltres @ Life Orb
Ability: Pressure
EVs: 4 Def/252 SpA/252 Spe
Timid Nature
IVs: 0 Atk/30 SpA
- Fire Blast
- Hurricane
- Hidden Power Grass
- Roost
Giratina @ Griseous Orb
Ability: Levitate
EVs: 248 Atk/248 Def/12 Spe
Adamant Nature
- Shadow Sneak
- Dragon Tail
- Defog
- Roost
Groudon @ Ability Capsule
Ability: Drought
EVs: 152 HP/236 Atk/44 SpD/76 Spe
Adamant Nature
- Stealth Rock
- Earthquake
- Dragon Tail
- Rock Tomb
Kyogre @ Ability Capsule
Ability: Drizzle
EVs: 248 HP/252 Atk/ 8 SpD
Brave Nature
- Waterfall
- Earthquake
- Ice Beam
- Thunder Wave
All of these should work on WiFi and were tested on Battle Spot. Put up a Fetchling or a Zigzagoon on the GTS with the message "Deej" searching for the Pokemon you want at level 91 and up.