If The Curious Elevator of Mr. Hincks was a book, 

The Curious Stairs of Mr. Hincks would be its prequel novella.

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Which should I play first?

Both are stand-alone games that don't need to be played in a certain order.

That being said, Play the elevator first!

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The Elevator introduces you to the world of Hincks and ramps up the challenge level slowly,

The Stairs throws you into the deep end right away!

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