This is emulated with MAME 0.119+. The American version only has the 1st and last levels, but the Japanese version also has the 2nd and 3rd. The name of this ROM is "Japan set 1".
Donkey Kong is a series of video games featuring the adventures of an ape-like character called Donkey Kong, conceived by Shigeru Miyamoto in 1981. The franchise mainly comprises two different game genres, plus spin-off titles of various genres.
The games of the first genre are mostly single-screen platform/action puzzle types, featuring Donkey Kong as the opponent in an industrial construction setting. Donkey Kong first made his appearance in the 1981 arcade machine called Donkey Kong, in which he faced Jumpman (Mario), now Nintendo's flagship character. This game was also the first appearance of Mario, pre-dating the well-known Super Mario Bros. by four years. In 1994, the series was revived as the Donkey Kong Country series, featuring Donkey Kong and his clan as protagonists in their native jungle setting versus a variety of anthropomorphic enemies, usually against the Kremlings, a clan of crocodiles, and their leader King K. Rool. These are side-scrolling platform games. Titles outside these two genres have included rhythm games (Donkey Konga), racing games (Diddy Kong Racing), and edutainment (Donkey Kong Jr. Math).