Your first WiiU game was Breath of the Wild?

A bit late to the party, right?

Only counting owned consoles, had a few borrowed/swapped consoles for some months here and there

Crash Banidcoot 2 &/or Granturismo (Ps1)
Metal Gear Solid 2 (PS2)
Perfect Dark (Game boy colour)
Pro Evolution soccer 5 (PSP)... I think, certainly not the first but I can't remember what I played in the first year)
Zelda Twilight Princess (not counting wii Sports)
Resistance Fall of Man &/or Motorstorm (PS3)
Alan Wake (First owned on my owned 360 elite, not first played) Mass Effect 2 first played on swapped console taken by RROD
Killzone Mercenaries (PS VITA)
Infamous Second Son (PS4)
Breath of The Wild (Switch)
Returnal on PS Extra (PS5 not counting Astros Playroom) Baldurs Gate 3 first traditionally owned game.

Mine's a short list, so I'll improvise a bit...

Master System: The Ninja (aside build-in Hang-On/Safari Hunt + Snail Maze)
PS2: Okami (aside dozen games I got with console buying it second hand)

PC: Police Quest 3
PC CD: Lands of Lore 1 & Betrayal in Antara
PC DVD: Myst 3

PS1: Final Fantasy 8 (never owned console, just emulating)
Nes: Super Mario Bros 2 (first console/game I ever rented)
Game & Watch: Rain Shower (first any sort of video game I had/played)

Quick clarification: So when you say "acquired", it would include pack-ins, separate purchases, rentals, borrowed from someone and even theft(?!?), correct?

PS3: Resistance
PS4: Rayman Legends
PS5: Kena Bridge of spirits
N64: Mario 64
WiiU: Mario 3D World
Switch: Zelda: Breath of the Wild

I do not recall what was the game in other consoles tbh.

From what I remember:

Wii: Wii Sports / NSMB or MKWii

DS: MKDS

3DS: IDK I had a few 3D Land or Streetfighter 4 probbably idk.

Wii U: MK8

Switch: BOTW & Rayman Legends but I didn't play BOTW until like a year later cos of uni etc and I still wanted to finish off Wii U / 3DS games including Twilight Princess HD b4 botw lmao.

I'm going to include both my first game purchased and any Pack In (PI) games, because I often got both at the same time anyway.  This is the chronological order for how I got the systems:

Atari 2600 - Adventure; Combat (PI)

NES - Super Mario Bros (non-PI actually); Duck Hunt (PI), Gyromite (PI)
SNES - Final Fantasy 2/4;  Super Mario World (PI)

Genesis - Shining Force; Sonic the Hedgehog (PI)

PS1 - Final Fantasy 7
PS2 - Final Fantasy 10

GBA - Final Fantasy Tactics Advance
DS - Final Fantasy Tactics A2

PSP - Final Fantasy 7: Crisis Core

GameCube - Super Mario Sunshine

PS3 - Civilization: Revolution

Wii - NSMB Wii; Wii Sports (PI)
Wii U - NSMB U; Nintendoland (PI)
3DS - Bravely Default; Mario Kart 7 (PI)

PS4 - Dark Souls 3; Uncharted 4 (PI)

Switch - LoZ: Breath of the Wild

XBox1 - Lost Odyssey

Atari 2600: Pacman
NES: Super Mario Bros & Duckhunt (Pack-in), Legend of Zelda (Buy)
SNES: Super Mario World (Pack-in), Streetfighter 2 (Buy)
N64: Super Mario 64
Playstation1: Final Fantasy7
Playstation2: Final Fantasy10
GameCube: Legend of Zelda, Wind Waker
Xbox360: Final Fantasy 13
Wii: Legend of Zelda, Skyward Sword
3DS: Legend of Zelda, Ocarina of Time 3D
Playstation4: Final Fantasy 15
Switch: Legend of Zelda, Breath of the Wild

Commadore 64, I think Ghostbusters, I was ikkle, can't really remember
SNES - Mario Kart
PS1 - Wipeout
GB - Pokemon Yellow
PS2 - Fantavision
Gamecube - Wind Waker
PSP - Tekken 5
PS3 - Resistance
Wii - Mario Galaxy
Xbox 360 - CoD Black Ops
PS4 - Dragon Age Inquisition
PS5 - Hades was probably the first PS5 game.
Switch - Mario Kart

Absolutely. I had a choice.

Buy a WiiU for Breath of the Wild.
Buy a Switch for Breath of the Wild.

I bought the WiiU because it was $100 AUD on clearance sale and Breath of the Wild was $70 brand new.
The Switch at the time was $470 and Breath of the Wild was $90.

Keep in mind I had skipped Nintendo's Home consoles during the Gamecube and Wii era due to a lack of games that enticed me.

I don't regret my decision, eventually backfilled my WiiU Library with every Australian release, my WiiU+Game library is worth more now, than what I originally paid for it.
The WiiU was a great machine at the end of it's life if you were just jumping into it and easily the cheapest way to play Breath of the Wild, but would have sucked if you got it on launch day.