HELL YES. I had the biggest crush on her way back when. Ah, memories... Also mammaries. She needs a tag. Even if this is the only pic of her on here - she's an A-grade polygonal hottie.
What the hell do we do when there's a character with no name? Just make one up? I propose minigame_girl_(zelda). Annoyingly, she operated different minigames in each of the games she was in, so that's as specific as it's gonna get. I'll create that tag in a while if no-one disagrees or finds an already existing tag for her or does it before me.
While I do agree with most of your post, I have to say you got it wrong in one point. She doesn't have a tag because there's hardly ANY art depicting her glorious sensuality. THAT is what we need first: More art.
Also, help me find her official name (if she has one). I have some artistic skills, and I promise nothing, but I think I'll give the world of fanart a shot...
Yes! More art is most definitely required! Danbooru's got such a huge repository of pics, yet I still find characters that are sorely under-represented - sometimes not even obscure ones, like Lovely Complex's Seiko-chan. Just goes to show you how much deliciousness there still is out there for us to discover (or create)!
I just checked out a YouTube vid of the Treasure Chest Game from Majora's Mask to hear that giggle again. I forgot she wiggles from side-to-side, too. ~<3