Super Nintendo Effects Dev Special - Did You Know Gaming? Feat. Mario Castañeda
On the Continue screen, Fox can be seen standing alongside a grid display showing off the 3D model of an Arwing, which can be interacted with.

•D-Pad = Rotates the model; pressing or holding down in one direction will cause it to move faster; doing so in the opposite direction will cause it to slow down; doing so in a perpendicular direction (i.e. pressing either left/right and then pressing either up/down, or vice versa) will not affect the speed of the model.
•X button = Stops the model's movement; moving with the D-Pad resumes it.
•L and R buttons = Zooms in and zooms out the model respectively.
•A button = Holding this button triggers a "drawing" mode where a still image of the frame where the render last appeared will trail behind it infinitely with each succeeding frame; this effect is similar to the "trailing/ghosting" glitch that can occur when dragging windows or dialog boxes on older computer operating systems.
•Plugging in a second controller = Every button except for L, R, X and A, will let you scroll through numerous models of enemies found throughout the game.
Contributed by MehDeletingLater
According to Takaya Imamura in a 2002 interview published in Nintendo Dream magazine, he was asked how he came to create the game? He responded:

"At the time, the majority of “3D” shooting and racing games were achieved via 2D fakery; polygon technology was beginning to emerge, and Miyamoto really wanted to use polygons to create an authentic 3D shooting game with genuine depth. From there, talk began of the Super FX chip, and that’s when the prototyping started…

Actually, I worked on F-ZERO immediately after joining the company, and after that I worked on The Legend of Zelda."
Contributed by ProtoSnake
During the secret "Out of this Dimension" level, listening carefully to the music that plays throughout reveals the level's theme to be a distorted version of Johann Strauss II's "Voices of Spring" waltz. The giant slot machine's battle theme is a mix of several folk songs: the Japanese folk song "Yuki", the American folk song "When the Saints Go Marching In", and the German folk song "Hänschen Klein". As the fake credits roll after defeating the giant slot machine, a distorted rendition of the credits theme can then be heard.
Contributed by Kitsune Hawk
The PAL release of the game was known as "Starwing" instead of Star Fox. The reason for this was to avoid similarities with a German company called StarVox since F is pronounced liked a V in German, which would have caused confusion for German players.
Contributed by Ophl
Although this game started the franchise, it's often ignored and is not usually considered canon. The recap present in the Star Fox: Assault instruction manual ignores the original game and begins the series at Star Fox 64. However, the official Star Fox Adventures Japanese site stated that the events of the Super Nintendo and Nintendo 64 games are two sides of the same coin, implying that they could directly co-exist within the same timeline since Star Fox 64 is a remake of Star Fox.
Contributed by CuriousUserX90
The ships the player pilots, the Arwing, got its name due to it being shaped like the letter A.
Contributed by CosmykTheDolfyn
There is a possibility General Pepper is named after The Beatles' album "Sgt. Pepper's Lonely Hearts Club Band". He is also wearing an outfit similar to a character on the album cover.
Contributed by CosmykTheDolfyn
There is a secret level that can be reached from the Asteroid Field in Level 3. Getting there requires destroying the second of two large asteroids and then flying straight into the bird that appears. Doing so results in being transported to "Out of this Dimension" where the background is warped, the enemies appear to be floating pieces of paper, and the boss is a giant slot machine. Once defeated by getting three 7s, the end credits roll and the player is stuck in this level until the game is reset.
Contributed by gamemaster1991