Cool idea.

I've currrently got:
Puyo Puyo Tetris
Bomberman
Ultra Street Fighter II
Disgaea 5
Shovel Knight
I Am Setsuna
Fast Racing RMX
Shantae: Half Genie Hero
Blaster Master Zero
Snake Pass
Kamiko
Tumbleseed

My current 3rd party games:
Snake Pass
Snipperclips
Mr. Shifty
Thumper
Jackbox Party Pack 3
Disgaea 5 Complete
Lego City Undercover

I consider that 2nd party. It's exclusive, but not made by the 1st party.

Also, how did you figure out which number of players the target should be?

I have Disgaea 5 Complete, Puyo Puyo Tetris, Super Bomberman R, Lego City Undercover and Blaster Master

Really keen on the switch and supporting the 3rd party games which make their way to it, so far I've picked up

Skylanders Imaginators
Minecraft
Lego City Undercover
Disgaea 5
Fast RMX

Really not been disappointed with any of the ports the system got, Skylanders is clearly built from the X360 version of the game, but that said it really is an enjoyable port and the single joycon play really makes for some great multiplayer sessions of Skylanders on the go.

Really not sure what my next game purchase will be... if the Virtual console was to make it's way to the system I've no doubt I would be shoveling money into it... but right now the next game I'm interested in is probably Splatoon 2 followed by Mario... which is a shame because I'm very partial to the Switch as a machine, I would admit that even a half arsed port of most games would likely get a purchase from me, which is a bad thing to admit but I just really have been making use of the portability of the system so much it's taken over as my main gaming device since it launched.

I have quite a few third party games as I like the idea of indy games on a portable console rather than my Gaming Desktop/PS4. Most of them I could have bought on Steam or something for cheaper, but portability is a huge factor for me. Not sure if they all count if they only appear on the Switch but are third party devs but I still will include them...

Disgaea 5

Minecraft

Shovel Knight

Snake Pass

NBA Playgrounds

Binding of Isaac

Has Been Heroes

Mr. Shifty

Wonder Boy: The Dragon's Trap

Puyo Puyo Tetris

Shantae: 1/2 Genie Hero

Not Sure If Counts
Snipperclips
Super Bomberman R
Blaster Master Zero
Tumbleseed
Fast RMX

I just got blaster master zero on top of my list.

OP, do you want us to update our original postings or put new postings when we get more games?

I have Ultra Street Fighter 5 and one fo the Neo Geo racing games whose name I remember as much as I am glad I purchased it (an impulse buy).

Considering getting another title in the near future, but with ARMS coming out It will probably be later.

Thumper, Minecraft, Blaster Master:Zero, Mighty Gunvolt Burst, Fast RMX, Shovel Knight: Treasure Trove, Wonder Boy: The Dragon's Trap, Snake Pass, Human Resource Machine.