You should order these series from 1st party to 3rd so we can gauge the likelihood of representation.
That's assuming 2nd parties have decreased chances because they are 2nd party. Which is very debatable.
I'm not even sure if some of these are technically "eligible" by way of being developed by people other than Nintendo. Chibi Robo, for instance, was developed by Skip, which ISN'T a subsidiary of Nintendo, but Chibi Robo did have non-character content in Brawl, so I'm guessing that isn't a problem. Correct me if I'm wrong.
2nd parties, like Chibi-Robo, The Last Story, Golden Sun, Starfy, Wonderful 101, Sin & Punishment, etc. are all eligible, so don't worry about including them.
And I know they've already been brought up, but I'd still advocate for including the Rolling Western, Wonderful 101, Rhythm Heaven, Mole Mania, The Last Story, etc. Especially if you're going to include series like Fatal Frame. Oh, and Band Brothers.
And ofc there are less likely series like HarmoKnight, Captain Rainbow, Nintendouji, Zangeki no Reginleiv, Magical Starsign/Vacation, Drill Dozer, Tomato Adventure, etc.