Continuity Lock-Out: The game is a stand alone that never refers to the previous games until Andross suddenly shows with no explanation of who he is.
Cult Classic: It's one of the least popular Star Fox titles, but it has its fans. This even applies to the unreleased Dinosaur Planet concept, which has a small but strong fanbase who enjoy discussing the title and trying to find out as much as possible about it.
Ensemble Darkhorse: Krystal. She definitely has a pretty solid fandom, and is even one of the more requested characters for the Super Smash Bros. series, but is a bit character in the actual game. Her Hatedom dying down quite a bit over the years has probably helped.
Link can turn into a wolf, which is a canine like Fox, and is the same species as scrapped protagonist Sabre. Relatedly, both characters are imprisoned at one point and can only escape by using an alternate physical form (Link taking advantage of his then-new wolf form, Fox turning into a SharpClaw thanks to an invention by Slippy).
Both Link and Fox bid a bitter farewell to their respective sidekicks, Tricky and Midna, after their adventures conclude.
The protagonists of both series being playable in all four Super Smash Bros. games while the newly-introduced female leads of both games (Midna and Krystal) make cameo appearances (Midna as an Assist Trophy, and Krystal as one of the special speaking characters on Lylat Cruise).
Even more amusingly, both games are regarded exactly the opposite way by their respective series' fanbases: Twilight Princess is sometimes criticized for being too formulaic for a Zelda game, while Star Fox Adventures is criticized for being too much of a departure from the rest of the Star Fox series.
It's Short, So It Sucks: Notably averted, as unlike most games in the series, clocks in on reported playthroughs of 15-20 hours. This where the game has its defenders, with the game having much more meat due to the Genre Shift as opposed to its one-sitting rail shooters.
Memetic Mutation: "*random incoherent babbling* GENERAL SCALES"... Explanation Frequently used to mock the game's use of the dinosaur language and how it completely falls apart with how characters still refer to themselves and others in perfect English even when using it.
Narm: The Dinosaur Planet's native language. So developed that the dev team actually had a guide in the manual over what vowels and consonants replaced each other... Yet, apparently, there are no words in their language for any of the characters names, since they're always spoken in perfect English whenever they're addressed. In particular, General Scale's infamous introduction line where he speaks in dino language, only to speak his name in perfect English in an overly dramatic fashion is often brought up as a prime offender of this trope.
The Lightfoot Test of Strength, which only the most button-mashing-happy will have some chance of beating it the first time off.
The Krazoa Test of Fear will make even the most patient gamers toss their controllers in a fit of rage, as it is an Unexpected Gameplay Change to a focus based minigame where the player must keep a line inside a bar as it swings from side to side wildly with little input as to where it's going to swing. It lasts a full minute and if you fail you have to go all the way back to the start. Not to the start of the Test itself, but instead all the way back to the beginning of the area and have to go through all the, admittedly easy if tedious, puzzles all over again. To say it grinds on the nerves is an understatement.
The mission to protect a Thorntail's egg nest from incoming reptilian thieves, until you learn that the easy way to beat it is to use your Groundquake (which miraculously doesn't crush the very eggs you're supposed to protect).
General Scales could have been a threatening villain but ends up being The Unfought.
This game's version of the Andross fight probably would have been considered a Best Boss Ever in a more traditional Star Fox game... too bad this isn't.
Arguably, the whole Star Fox crew sans Fox. Falco is missing for most of the game, while Peppy and Slippy are relegated to Mission Control, never stepping foot on the planet proper.
Viewer Gender Confusion: It's not uncommon to hear fans refer to the Shopkeeper as a "she". The character is actually male, but he has a voice that makes him sound like an old woman (which is actually provided by a man).