The original Donkey Kong is the arcade game. The NES port came later and was missing one of the four levels the arcade game had.
Strangely enough some licenced ports for the era’s computers were complete arcade ports unlike the in-house NES one.
On the Wii they released a “special edition” of NES Donkey Kong restoring the missing level.
Note on Donkey Kong game boy, it starts with the 4 arcade levels then adds about a hundred more levels taking advantage of new moves and turning into more of a platform/puzzle kind of game.
This is really the starting point of what became Mario Vs Donkey Kong (which is another good GBA game to recommend, actually).