I'd like to see the team at Ubisoft Toronto that did Starlink: Battle for Atlas make a Star Fox game, because they've already proven themselves competent at making a space combat game.
This one is kinda obvious, but I really, really, REALLY wanna see Shin'en Multimedia do F-Zero, as they've shown what they can do with futuristic racing in the FAST Racing games. To not do so would be a wasted opportunity for both them AND Nintendo.
I really want both F-Zero and Star Fox to have awesome new games, and these two are probably the most prominent Nintendo franchises with an uncertain future, but those are not the right choices. Starlink does nothing a Star Fox game must do well at all - it has none of the high-octane action a Star Fox game should, it has quite awful controls (and not even as an excuse for a gimmick like in SFZ, they're just bad on their own), and the combat is incredibly basic and more level-based than skill-based. It's as good as an antithesis to Star Fox, honestly.
Besides, when it came to handling the IP, they just gave every character incredibly cliche lines, and even some out of character moments like the unbelievably cringy "Yes! Fox one, bad guy zero!". The characters weren't bad for the most part, but when they weren't, they were only okay - except for Wolf, of course. His portrayal here was so extremely edgy, I hated it. It's probably the worst portrayal of Wolf I've seen yet, and that's saying something.
Shin'en, comparatively, is fine. But they shouldn't be doing F-Zero anyway. Fast Racing Neo is just what the title suggests: a fast, generic futuristic racing game. And very generic at that. It's quite average honestly... It's fun, sure, but it has no personality, all the tracks are bland as is the music, and ultimately it just doesn't have any lasting appeal. It's nothing like F-Zero because F-Zero has LOADS of personality and character. So, no to them as well.