Well, unless the "animal" owned the shop then "animals shop" is correct grammatically though probably "animal shop" is what you are looking for. However, I don't think this is a very good sentence.
"animal shop" is really meaningless by itself. Perhaps it could have some meaning in a certain context but certainly there could be a better description of this shop.
Is it a shop where you purchase animals for pets? Then it would be a "pet shop".
Tell us more about this shop.

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