Place the first 7 ingredients in a food processor and pulse to combine. Mix in the butter, then add the egg, molasses, and vanilla and pulse until the dough forms into a ball. Wrap the dough in plastic wrap and chill in the fridge for 30 minutes.
Preheat oven to 350°F. Roll out dough to 1/8-inch thick and cut using 1 1/2-inch animal shape cookie cutters, like Wilton's Mini Noah's Art Set. Place cutouts on a parchment-lined baking sheet.
Bake for 8 to 10 minutes, or until the cookies are set and starting to turn golden brown on the edges.
Store at in an air tight container at room temperature for up to 5 days, or freeze for up to 1 month.
We used Wilton Mini Noah's Ark Metal Cookie Cutters: http://www.amazon.com/kitchen-dining/dp/B00076TPN0