Similar to how previous storage solutions offered various Pokémon, such as Surfing Pichu in Pokémon Box and Mew in My Pokémon Ranch, Pokémon Bank provides distribution of Pokémon to you various games. You only get one of these Pokémon per Pokémon Bank save and, for Pokémon X & Y, are received via that game's Pokémon Link feature on the main screen.

PokéMiles & Battle Points
Release Dates:

Japan: December 25th 2013
America: February 5th 2014
Europe: February 4th 2014

Compatible Games:
Pokémon X & Y

Gift:
100 PokéMiles or 10 B.P.

When you first deposit Pokémon into your Pokémon Bank boxes, you will earn 100 PokéMiles, which can be transferred to Pokémon X & Y to purchase a variety of items. However, this is not just limited to PokéMiles. If you do so wish, you can receive these points as 10 Battle Points rather than PokéMiles, to allow for spending in various Battle Facilities
Celebi
Release Dates:

Japan: December 25th 2013 - September 30th 2014
America: February 5th 2014 - September 30th 2014
Europe: February 4th 2014 - September 30th 2014

Compatible Games:
Pokémon X & Y

Gift:
Celebi

Method:
If you deposit Pokémon onto Pokémon Bank, or withdraw them, you will get access to this special Celebi. This can be done if you have paid for Pokémon Bank or if you are in the 30 day free trial. To get it, you need to have deposited Pokémon into Bank from X & Y. Next time you load the game up, Brigette will give you Celebi.

Celebi
Level 10
OT:Yours
ID:Yours
Ability:Natural Cure
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Bank. Apparently had a fateful encounter at Lv. 10
Recover
Heal Bell
Hold Back
Safeguard
Johto Starters With Hidden Abilities
Release Dates:

Japan: February 27th 2015 - November 30th 2015
America: February 27th 2015 - November 30th 2015
Europe: February 27th 2015 - November 30th 2015

Compatible Games:
Pokémon X, Y, Omega Ruby & Alpha Sapphire

Gift:
Meganium, Typhlosion & Feraligatr

Method:
If you access Pokémon Bank during the allotted time, you will gain access to all three of the fully evolved Johto Starters. Each of these have their Hidden Abilities and you get all three for each Pokémon Bank Account.Next time you load the game up, Brigette will give you the Pokémon.

Meganium ♂/♀
Level 50
OT:Yours
ID:Yours
Ability:Leaf Guard
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Link. Apparently had a fateful encounter at Lv. 50
Solar Beam
Sunny Day
Synthesis
Body Slam

Typhlosion ♂/♀
Level 50
OT:Yours
ID:Yours
Ability:Flash Fire
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Link. Apparently had a fateful encounter at Lv. 50
Overheat
Flame Wheel
Flame Charge
Swift

Feraligatr ♂/♀
Level 50
OT:Yours
ID:Yours
Ability:Sheer Force
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Link. Apparently had a fateful encounter at Lv. 50
Ice Punch
Crunch
Waterfall
Screech







Regi Trio With Hidden Abilities
Release Dates:

Japan: March 4th 2016 - October 31st 2016
America: March 4th 2016 - October 31st 2016
Europe: March 4th 2016 - October 31st 2016

Compatible Games:
Pokémon X, Y, Omega Ruby & Alpha Sapphire

Gift:
Regirock, Regice, Registeel

Method:
If you access Pokémon Bank during the allotted time, you will gain access to all three of the Regi Trio. Each of these have their Hidden Abilities and you get all three for each Pokémon Bank Account. Next time you load the game up, Brigette will give you the Pokémon.

Regirock
Level 50
⬟
OT:Yours
ID:Yours
Ability:Sturdy
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Link. Apparently had a fateful encounter at Lv. 50
Explosion
Ice Punch
Stone Edge
Hammer Arm

Regice
Level 50
⬟
OT:Yours
ID:Yours
Ability:Ice Body
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Link. Apparently had a fateful encounter at Lv. 50
Thunderbolt
Amnesia
Ice Beam
Hail

Registeel
Level 50
⬟
OT:Yours
ID:Yours
Ability:Light Metal
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Link. Apparently had a fateful encounter at Lv. 50
Iron Head
Rock Slide
Gravity
Iron Defense





Mewnium Z
Release Dates:

All: January 25th 2017 - October 2nd 2017

Compatible Games:
Pokémon Sun & Moon

Gift:
Mewnium Z

Method:
If you access Pokémon Bank during the allotted time, you will gain access to the special Z-Crystal for the Mewnium Z, the special Z-Crystal for Mew that activates the move Genesis Supernova.


Hidden Ability Alolan Starters
Release Dates:

All: March 9th 2018 - October 31st 2018

Compatible Games:
Pokémon Sun & Moon, Pokémon Ultra Sun & Ultra Moon

Gift:
Decidueye, Incineroar, Primarina

Method:
If you access Pokémon Bank during the allotted time, you will gain access to the Alolan Starter Pokémon, each with their Hidden Abilities.

Decidueye ♂/♀
Level 50
✚
OT:Yours
ID:Yours
Ability:Long Reach
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Bank. Apparently had a fateful encounter at Lv. 50
Leaf Blade
Phantom Force
Shadow Sneak
Brave Bird
Incineroar ♂/♀
Level 50
✚
OT:Yours
ID:Yours
Ability:Intimidate
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Bank. Apparently had a fateful encounter at Lv. 50
Fake Out
U-turn
Darkest Lariat
Flare Blitz
Primarina ♂/♀
Level 50
✚
OT:Yours
ID:Yours
Ability:Liquid Voice
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Bank. Apparently had a fateful encounter at Lv. 50
Hyper Voice
Moonblast
Icy Wind
Perish Song



Hidden Ability Passimian & Oranguru
Release Dates:

All: March 28th 2019 - October 31st 2019

Compatible Games:
Pokémon Sun & Moon, Pokémon Ultra Sun & Ultra Moon

Gift:
Passimian & Oranguru

Method:
If you access Pokémon Bank during the allotted time, you will gain access to the Pokémon Passimian & Oranguru, each with their Hidden Abilities.

Passimian ♂/♀
Level 50
✚
OT:Yours
ID:Yours
Ability:Defiant
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Bank. Apparently had a fateful encounter at Lv. 50
Close Combat
U-turn
Knock Off
Gunk Shot

Oranguru ♂/♀
Level 50
✚
OT:Yours
ID:Yours
Ability:Symbiosis
Hold Item:
No Item
 Any Nature.
Date of Receiving
Pokémon Bank. Apparently had a fateful encounter at Lv. 50
Instruct
Foul Play
Trick Room
Ally Switch