Here's what I'd have in a new Star Fox game:
Command would be retconned, and the game would take place after Assault A movie quality story, and branching dialouge like Mass Effect or Fallout 4, also explaining character backstories more, Space combat levels have been taken off rails (it's a dying genre) Upgradable weapons and craft A slightly edgier storyline New enemies Different story options (I.e Fox's story, Falco's story, Krystal's story, Star Wolf, etc.) that show the story from another character's perspective and telling their origin stories, they are unlocked after beating the previous story Some team based elements On foot combat returns, but is slightly slower paced, you can switch between 1st and 3rd person views, oh and you can now aim with all weapons (AKA all weapons have iron sights) Online multiplayer with Voice Chat Local Multiplayer
Hidden Lore about Lylat is discoverable based on missions
Team Based Gameplay
Also the story is supposed to be slightly more serious then past games, also gone is the Cheesy dialogue and bad voice acting of past games, replaced with serious dialouge with some humor thrown in. Also gone is the old puppet visuals, replaced with realistic characters.
The different stories also provide backstory
(Fyi: By serious, I mean less campy)
The Great Fox (or Sargasso) would serve as an interactive hub world in between missions, with different characters that provide a useful purpose, (Krystal would use her telepathic abilites to provide intel, Slippy would upgrade weapons and vehicles and develop new vehicles and weapons, and Falco would allow you to train and hone your skills via simulated training).
Character personalities and traits
Fox: Heroic, a Great leader, slightly sarcastic, and slightly cocky
Falco: Sarcastic and arrogant, yet still cares about Fox
Krystal: Calm, collected, level headed, and very compassionate
Slippy: Slightly nerdy, Technical Genius, Doesn't have the best bladder control (played for comic relief)
Peppy: Wise, mature, slightly senile
On foot missions:
Each character has a different playstyle for on foot (Fox plays like Gears of War or Mass Effect, Krystal has gameplay like Star Fox: Adventures)
Though there are on foot missions, the main focus of the game is Aerial combat
The game can be divided up into percentages
Arwing Combat: 75%
On foot: 15%
Landmaster: 5%
Blue Marine: 5%
Oh and Slippy is not a pilot, he's in an Otacon-type role,
The active flight roster is:
Fox, Falco, Krystal, Miyu