You play as Mickey Spillane's character Mike Hammer P.I., but the concept is abandoned as soon as you take a taxi to the English countryside. Apparently New York gumshoe Mike Hammer has relocated to England now? Naturally, he ends up meeting the Queen, who for some reason is now also part of the Snow White story, and wants Hammer to check who the fairest of them all is. Never mind that the magic mirror is literally in the next room (remind me why she needs a P.I. for this?), and her guard won't let you visit it, even though the Queen explicitly asked you to, in his presence. So of course you need to start a fire in the castle kitchen to distract the guard, because why wouldn't you? This all makes perfect sense.
Adventure Extraordinaire is so wildly surreal it becomes really charming, and the lovely art further adds to the effect. Unfortunately, it's also virtually unplayable. There is no way a normal human being could make any progress in this game without copious amounts of LSD, or by following the cheat sheet (thankfully available from the game's web page).