I believe the original poster meant World War II, not Wii.
I would say give them a call. They handle primarily furniture and items for the home but I have seen random items here and there throughout the years. A Wii isn't exactly an antique except to those in the electronic world. So answering your question, yes, they will often take in antiques, maybe even a Wii. Otherwise I would suggest a game store or good ol' Facebook Market Place. If all else fails, maybe consider donating it to one of the retirement homes around town. The elderly are quite entertained by our "antique electronics"! It's great excercise for them and hilariously entertaining to watch!
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