I cleared Classic for the first time with Link, and I encountered a couple of strange things.
-Once I had beaten Master Hand, the animation that followed showed Mario's trophy landing on the table instead of Link's. I still got Link's trophy added to my gallery, but it was never shown at the end of Classic.
-After the credits, I entered a "Challenger Approaching" battle with Captain Falcon, despite already having him unlocked. I beat him and it said I had unlocked him.
-Once I had beaten Master Hand, the animation that followed showed Mario's trophy landing on the table instead of Link's. I still got Link's trophy added to my gallery, but it was never shown at the end of Classic.
-After the credits, I entered a "Challenger Approaching" battle with Captain Falcon, despite already having him unlocked. I beat him and it said I had unlocked him.