Star-k has a listing of appliances, including some refridgerators that have “Sabbath Mode”, you do have to remember to enable it before Shabbos: http://www.star-k.org/cons-appl.htm. There are also some guidelines about purchasing fridges here: http://www.star-k.org/cons-appl-advice.htm#refrigerators. Even with all of this, you should consult your Rav before your purchase.
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