Region: North America
SKU: New Nintendo 3DS XL - Black

Software:
Animal Crossing: New Leaf
Bravely Default
Fire Emblem: Awakening
Kirby: Triple Deluxe
The Legend of Legacy
The Legend of Zelda: A Link Between Worlds
The Legend of Zelda: Majora's Mask 3D
The Legend of Zelda: Ocarina of Time 3D
Luigi's Mansion: Dark Moon
Pokemon Alpha Sapphire
Pokemon Y
Professor Layton vs Phoenix Wright: Ace Attorney
Shin Megami Tensei IV
Shin Megami Tensei: Devil Survivor Overclocked
Super Mario 3D Land
Tomodachi Life
Xenoblade Chronicles 3D

[DIGITAL]
OlliOlli
Pokemon Rumble World
Pokemon Shuffle
Rusty's Real Deal Baseball

*I also have the limited edition of Majora's Mask 3D, just not with me at the moment.

Alright, here I go:

Region: Central Europe (PAL)

SKU: Regular aqua blue 3ds (The launch model)

Software:

- Physical

Super Street Fighter IV - 3D Edition
Shinobi (3D)
Star Fox 64 3D
Zelda: A Link between Worlds (standard)
Zelda: Ocarina of Time
Zelda: Majora's Mask (Special Edition)
Steel Diver
Mario Kart 7
Luigi's Mansion 2
Super Mario 3D Land

- Digital: (e-shop)

Zelda: Oracle of Ages
Zelda: Link's Awakening DX

Region: North America

SKU: New Nintendo 3DS XL

Software:
[Physical]
The Legend of Zelda: Ocarina of Time 3D
The Legend of Zelda: Majora's Mask 3D
The Legend of Zelda: A Link Between Worlds
Pokemon X
Pokemon Omega Ruby
Super Mario 3D Land
Mario Kart 7
Super Smash Bros. for 3DS
Kingdom Hearts 3D: Dream Drop Distance
Kirby: Triple Deluxe
Luigi's Mansion: Dark Moon
Mario & Luigi: Dream Team
Kid Icarus: Uprising
Xenoblade Chronicles 3D

[Digital Retail]
Fire Emblem: Awakening
Donkey Kong Country Returns 3D

[Digital Only]
The Legend of Zelda: Link's Awakening DX
The Legend of Zelda: Oracle of Ages
The Legend of Zelda: Oracle of Seasons
Metroid II: Return of Samus
Mega Man II
Pokemon Shuffle
Pokemon Rumble World

Region: North America

SKU: Nintendo 2DS

Software:

-Physical:

Bravely default

Super Smash Bros

Fire emblem: awakening

Pokemon X

Kid Icarus: Uprising

Digital:

Pushmo

Mario Kart 7

Metroid

Super Mario Bros 3

Well, here I go! If I did something wrong, let me know and I'll edit my post. I might add pictures of my physical collection later, but for now it seems easier to just read through the Software Library in my activity log (and exclude DS games or apps). I'll seperate them by physical, digital, and digital rewards, since I worry the last list might defeat the purpose of this survey.

----------------------------------------------------------------
Hardware: Nintendo 3DS (original)

Region: North America/U.S.

Physical Games (most played to least played)

Tales of the Abyss
Fire Emblem Awakening
Monster Hunter 4 Ultimate
Bravely Default
Pokemon Y
Shin Megami Tensei: Devil Survivor 2 Record Breaker
Shin Megami Tensei IV
The Legend of Zelda: Ocarina of Time 3D
Pokemon Omega Ruby
Kid Icarus Uprising
Mario Kart 7
The Legend of Zelda: A Link Between Worlds
Star Fox 64 3D
Super Smash Bros.
Super Street Fighter 4
Legend of Legacy

Digital Games - Purchased (most played to least played)

Animal Crossing: New Leaf
Shin Megami Tensei: Devil Survivor Overclocked
Monter Hunter 3 Ultimate
The Legend of Zelda: Link's Awakening
The Legend of Zelda: Oracle of Ages
Tomodachi Life
The Legend of Zelda: Oracle of Seasons
Dillon's Rolling Western
Megaman Xtreme 2
Harmoknight
Megman Xtreme
Azure Striker Gunvolt
Wario Land 2
Mario's Picross
Kid Icarus 3D Classics
Mario Golf
Alleyway
Super Mario Land 2
Warioland (Super Mario Land 3)
Weapon Shop de Omasse
Kirby's Block Ball
Earthworm Jim
Metroid 2
Pokemon Shuffle
Mighty Gunvolt
3D Classics Excitebike
Super Mario Land
Kid Icarus 2
Kirby's Adventure 3D Classics
Code of Princess

Digital Games - Free Rewards (most played to least played)

Fire Emblem: Sacred Stones
Donkey Kong Country Returns 3D
The Legend of Zelda: Four Swords
The Legend of Zelda
The Legend of Zelda 2: Adventure of Link
Super Mario 3D Land
Metroid Fusion
Mario Kart: Super Circuit
Warioware Inc.
Warioland 4
Metroid
Super Mario Advance 3: Yoshi's Island
Mario vs. Donkey Kong
Yoshi
Kirby and the Amazing Mirror
Super Mario Bros.
Balloon Fight
Donkey Kong. Jr.
Ice Climber
NES Open Tournament Golf
Wrecking Crew
F-Zero Maximum Velocity
The Legend of Zelda: The Minish Cap

---------------------------------------------------------------

Sorry for the huge list. I honestly don't think I've owned any other platform with a list this large. Just a testament to how much I enjoy the system.

EDIT: Forgot to add Hardware Information. Putting that in now.

Region: PAL/Australia

SKU: 

Nintendo 3DS XL Yoshi Edition

Nintendo 3DS Red Version

Physical: 

Luigi Mansion 2

Proffesor Layton VS Phoenix WWright

Animal Crossing: New Leaf

Mario Tennis Open

Fire Emblem Awakening

Rabbids 3D

MarioKart 7

Super Smash Bros. 3DS

Pokemon X

Bravely Default

Proffesor Layton and the Miracle Mask

Naruto Shippuden 3D The New Era

Happy Feat 2

Digital

Conception 2: Children of the seven stars 

Region: North America

SKU

- Nintendo 3DS (Aqua Blue)

- Nintendo 3DS XL (Red Smash Bros.)

- Nintendo 2DS (Crystal Blue)

- New Nintendo 3DS XL (Majora's Mask)

Retail (Physical)

- New Super Mario Bros. 2

- Super Mario 3D Land

- Super Smash Bros. For Nintendo 3DS

- Paper Mario: Sticker Star

- Mario & Luigi: Dream Team

- The Legend Of Zelda: Ocarina Of Time 3D

- The Legend Of Zelda: Majora's Mask 3D (Limited Edition)

- The Legend Of Zelda: A Link Between Worlds

- Donkey Kong Country Returns 3D

- Star Fox 64 3D

- Pokémon (Alpha SApphire Version)

- Pokémon (Y Version)

- Sonic Generations

- Resident Evil: The Mercenaries 3D

- Super Street Fighter IV: 3D Edition

- Kid Icarus: Uprising

- Fire Emblem: Awakening

- Animal Crossing: New Leaf (NFC Reader Bundle)

- Animal Crossing: Happy Home Designer

- Tom Clancy's Ghost Recon: Shadow Wars

- Tom Clancy's Splinter Cell 3D

- Castlevania: Lords Of Shadow: Mirror Of Fate

- Bravely Default (Collector's Edition)

- Roller Coaster Tycoon 3D

- Chibi-Robo: Zip Lash (Amiibo Bundle)

- Project X Zone (Limited Edition)

- Scribblenauts Unmasked: A DC Comics Adventure

- Code Name: S.T.E.A.M.

- Steel Diver

Retail Digital

- Professor Layton And The Miracle Mask

- Tomodachi Life

Virtual Console

- Donkey Kong: Original Edition

- Sonic The Hedgehog: Triple Trouble

- Sonic Blast

- Tails Adventure

- The Mysterious Murasame Castle

- Summer Carnival '92: Recca

Nintendo eShop

- Mario And Donkey Kong: Minis On The Move

- Pokémon Rumble World

- Pokémon Shuffle

- Kirby Fighters Deluxe

- 3D Sonic The Hedgehog

- 3D Classics: Kid Icarus

- 3D Classics: Excitebike

- Harmoknight

- Pushmo

- Stretchmo

- Liberation Maiden

- Aero Porter

- Crimson Shroud

- The Starship Damrey

- Bugs VS. Tanks

- Attack Of The Friday Monsters: A Tokyo Tale

- Weapon Shop De Omasse

- Azure Striker Gunvolt

- Steel Diver: Sub Wars

- Mighty Gunvolt

- Woah Dave!

- BoxBoy!

Region: North America (specifically Canada)
SKU: Orignal 3DS Aqua Blue (the one that was available at launch)

Retail Games (all physical):
Animal Crossing: New Leaf
Cave Story 3D
Kid Icarus: Uprising
The Legend of Zelda: A Link Between Worlds
The Legend of Zelda: Majora's Mask 3D
The Legend of Zelda: Ocarina of Time 3D
Mario & Luigi: Dream Team
Mario Kart 7
New Super Mario Bros. 2
Paper Mario: Sticker Star
Resident Evil: Revelations
StarFox 64 3D
Super Mario 3D Land
Super Smash Bros. for Nintendo 3DS
Theatrhythm Final Fantasy
Theatrhythm Final Fantasy: Curtain Call

eShop Games:
Crashmo (Club Nintendo)
Dillon's Rolling Western (Club Nintendo)
Excitebike 3D (Club Nintendo)
Gunman Clive (Humble Bundle)
Kid Icarus 3D (Club Nintendo)
The Legend of Zelda: Four Swords Anniversary Edition
Mighty Switch Force! (Humble Bundle)
Moon Chronicles: Episode 1 (Humble Bundle)
Mutant Mudds
OlliOlli (Humble Bundle)
Rayman
Shantae: Risky's Revenge
Shovel Knight
Steamworld Dig (Humble Bundle)
Woah Dave! (Humble Bundle)

Virtual Console:
The Legend of Zelda (Ambassador Program)
Zelda II: The Adventure of Link (Ambassador Program)
The Legend of Zelda: Minish Cap (Ambassador Program)
The Legend of Zelda: Link's Awakening DX
Metroid (Ambassador Program)
Metroid II: Return of Samus
Metroid Fusion (Ambassador Program)
Super Mario Bros. (Ambassador Program)
Super Mario Land 2: 6 Golden Coins
Mario vs. Donkey Kong (Ambassador Program)
Kirby's Dream Land
Kirby & The Amazing Mirror (Ambassador Program)
Kid Icarus: Of Myths and Monsters (Club Nintendo)
Wario Land 4 (Ambassador Program)
Yoshi's Island: Super Mario Advance 3 (Ambassador Program)
Fire Emblem: The Sacred Stones (Ambassador Program)
WarioWare, Inc.: Mega Microgame$ (Ambassador Program)

Region: North America

SKUs:
Nintendo 2DS (Crystal Blue - Sold to a friend)
New Nintendo 3DS XL (Jet Black - Currently own)

Software: (Physical)
Animal Crossing: New Leaf
Bravely Default
Fire Emblem: Awakening
Kid Icarus: Uprising
Kingdom Hearts 3D: Dream Drop Distance
Luigi's Mansion: Dark Moon
Mario & Luigi: Dream Team
Mario Kart 7
Mario Party: Island Tour
Pokemon Omega Ruby
Pokemon X
Pokemon Y
Star Fox 64 3D
Super Mario 3D Land
Super Smash Bros. for 3DS
The Legend of Zelda: A Link Between Worlds
The Legend of Zelda: Majora's Mask 3D
Xenoblade Chronicles 3D

Retail: (Digital)
The Legend of Zelda: Ocarina of Time 3D
Tomodachi Life

Virtual Console:
The Legend of Zelda: Link's Awakening
The Legend of Zelda: Oracle of Ages
The Legend of Zelda: Oracle of Seasons
Mega Man 3
Super Mario Bros. 2

Region: Europe
SKU: 3DSXL(Gold/Black A Link Between Worlds version)

Games(Physical)

Bit.Trip Saga
Cave Story 3D
Doctor Lautrec And The Forgotten Knights
Donkey Kong Country Returns 3D
Heroes Of Ruin
Kid Icarus: Uprising
Mario Kart 7
New Super Mario Bros. 2
Paper Mario: Sticker Star
Professor Layton And The Azran Legacy
Professor Layton And The Miracle Mask
Professor Layton VS Phoenix Wright: Ace Attorney
Resident Evil Revelations
Rhythm Thief And The Emperor`s Treasure
Senran Kagura Burst
Super Mario 3D Land
Super Street Fighter IV: 3D Edition
The Legend Of Zelda: A Link Between Worlds
The Legend Of Zelda: Majora`s Mask 3D
The Legend Of Zelda: Ocarina Of Time 3D
Ultimate NES Remix


Games(Digital)

The Legend Of Zelda: A Link Between Worlds


Games(eShop)

Gunman Clive
Gunman Clive 2
HarmoKnight
Jett Rocket 2: The Wrath Of Taikai
Mighty Switch Force!
Mighty Switch Force! 2
Mutant Mudds
Phoenix Wright: Ace Attorney - Dual Destinies
Pokémon Link Battle
Rage Of The Gladiator
Shovel Knight
The Legend Of Zelda: Four Swords Anniversary Edition


Games(VC)

Do I have to list them...?