April 14, 2001
The complete NES version of Donkey Kong is featured in the game as an unlockable mini-game. It can be obtained in various random ways such as Tom Nook's Monthly Raffle, Crazy Redd's, as present from a neighbor, treasure hunts, birthday presents, etc.
Additionally, the character Louie is a gorilla that looks very similar to Donkey Kong, and he's likely based on him. He also wears the Lil Bro Shirt, that has Luigi's logo on it. Louie also returns in some later games in the series.
Donkey Kong Country: Tropical Freeze
February 13, 2014
During his idle animation, Donkey Kong is sometimes seen playing a Nintendo 3DS and sounds from various games can be heard, including Animal Crossing: New Leaf
Copyrights for both series are held by Nintendo.