Game recs:

an asterisk* signifies it's not nintendo-exclusive

Multiplayer:

Splatoon 2: Fun battle game where you ink your way to victory(DLC strongly recommended)
Mario Kart 8: Fun facing game, includes all dlc from Wii-U
ARMS: Fun battle game that feels smooth and flexible - Wait for sale
Kirby Star Allies: Fun easy Kirby as always - Wait for sale
Snipperclips: Cute puzzle coop game
Rocket League*: Soccer, but with cars!
Overcooked/Overcooked 2*: Manic cooking action

Singleplayer:
Breath of the Wild: Super fun open world game(DLC recommended)
Super Mario Odyssey: One of the best 3d platformers out there
Hyrule Warriors: Dynasty Warriors but with better characters
DK Tropical Freeze: 2d platformer with the coolest ape in town
Captain Toad: Cute puzzle adventure
Shovel Knight*: Just get it coward
Celeste*: Hard yet forgiving mountain-climbing platformer
Sonic Mania*: Only good sonic game
Stardew Valley*: Relaxing perfected harvest moon
Skyrim*: Fus roh dah
Hollow Knight*: Epic metroidvania adventure

Coming soon:

Fire Emblem
Smash Bros.
Animal Crossing