Aladdin, as a licensed game for the NES, had multiple versions with varying degrees of quality and fidelity to the Disney film. This particular version, often referenced as '[Aladdin] Dizzy the Adventurer (USA) (Unl)' and '[Aladdin] Fantastic Adventures of Dizzy, The (USA) (Unl)', is actually unrelated to the Disney film.  Instead, it's based on the unrelated Dizzy game series, featuring the character Dizzy in an adventure format. The use of '[Aladdin]' is thought to be due to a mislabeling or perhaps accidental association during its distribution within the unlicensed game market.  It's gameplay mechanics likely involved platforming and puzzle-solving elements, typical of the Dizzy games.  Unlicensed games like this reflect a segment of the NES market that capitalized on popular IP names, sometimes misleadingly, to attract consumers.  The historical context is in showing the existence and distribution of unlicensed, or ROM-hacked, games, common in the era of less strict copyright enforcement on the NES.

[Aladdin] Dizzy the Adventurer (USA) (Unl)

'89 Dennou Kyuusei Uranai (Japan)