I would make a story-driven Star Fox game, taking place some 20-ish years after Star Fox 64. The team has split and you have to bring them back together at the start, but Peppy is retired so you end up finding a new member (Fay, from SF2) to join. I have kind of a whole storyline thought up for it, it'd be somewhat similar to Assault in that it'd feature a threat from outside Lylat. Theirs would be a race of alien cyborgs ruled by an AI that needs exorbitant amounts of energy to survive, so they consume stars - culminating in them attempting to destroy the Lylat star itself.
Gameplay-wise it'd be a mostly linear game but with some alternate stages based on certain choices you get. Most stages would have you controlling either the Arwing, or Fox on-foot in a more stealthy style of gameplay (but with some cool movement abilities, inspired by the stuff he can do in Smash). Between missions, you'd get to walk around the Great Fox and talk to the team, each of the characters would have a big story arc and their dialogue would change as the story progresses.
Basically it'd be similar structurally to the Guardians of the Galaxy game, or well, many AAA games of the current era I suppose. Would have plenty of cutscenes and dialogue choices, and the visual style would try to replicate the Star Fox Zero: The Battle Begins style closely. Continuity-wise it'd be retconning Adventures and Command out of the canon, and also anything in Assault that has to do with those games' stories.
Last year I decided, since I can't actually make that game, I was gonna try to write the story as if it were a novel, and post it somewhere online. However, I lost motivation once I found out that it's really difficult to turn a story premise into a fully fleshed out plot 