F-Zero series have Easter Eggs that appear in specific games belonging to a different series created by Nintendo. They have mostly appeared in Mario games. They also appeared in Animal Crossing games.
In Mario Series, you can find a Blue Falcon as a trophy in a specific location in Super Mario RPG: Legend of the Seven Stars. In Mario Kart Wii, a Blue Falcon that you can unlock for completing a specific criteria appears as an Easter. The Blue Falcon, Big Blue, and Mute City appeared as Easter Eggs in Mario Kart 8 and Mario Kart 8 Deluxe and so did several music pieces in F-Zero.
In almost every Animal Crossing game, you can get a Blue Falcon as a furniture. You can interact with it in your house. There is a requirement for each different game to get this furniture. In New Leaf, for example, you can get the Blue Falcon via Fortune that you receive from eating Fortune Cookies.