I answered the question you asked. It's your fault for not moving the goalposts far enough. Next time try harder to be as descriptive as possible so there is no conceivable answer to your question and the Wii looks weak because of it.

Shmups are a huge, potentially audience-expanding genre.

2D Shmups, anyways.

Nintendo should take a 2-game 2D/3D approach to Star Fox like they do with Metroid and Mario. Make a 3D Star Fox game that goes back to the SNES/N64 roots. And then make the first ever 2D Star Fox.

3D isn't revolutionary anymore, and there's never been a 3D flight-based Shmup with the popularity of an Asteroids or Space Invaders or Galaga. Instead, FPS games are the Shmup of choice in 3D.

Star Fox is a good brand with cool characters that would work with different gameplay types.

And imagine the different gameplay styles and multi-player possibilities. You could have upward-scrolling and side-scrolling levels, flying through space, asteroid belts, or above a planet's surface, "ambush" levels with Asteroids-style controls, even on-foot shmup levels, and all of it with 4-player Fox+Falco+Peppy+Slippy. And then you could have split-screen modes, where two players are in space and two are on-foot, and they have to complete objectives for the other pair to continue. 4v4 Fox vs. Wolf online modes. Various ways of doing high-score or killcount competitions or leaderboards, or dogfights with SpaceWar/Asteroids style controls.

Why are there no games like this? Instead, all the 2D Shmups left are niche "bullet hells" like the OP said. Star Fox is a great existing brand to do this with instead of inventing a new brand.

A starfox done in the vein of Lylat wars/ Starfox 64 with really good online multiplayer would be out of this world. We can only hope, maybe it's what Retro is going to unveil soon - who knows?