Yeti Arcade: The Sims Series

The Sims: Vacation (2002):

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The Sims 2 (2006) for Game Boy Advance:

Source

Source

Fan Art

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The Sims 3 (2009):

You can hold a sign with an image of the yeti holding his arms up on it.

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The Sims Social (2011):

When you talk to someone, you can choose the action Reveal a Secret  and “the abominable snowman” is an option.  His angry Gama-Go-esque head appears to represent the secret.