Preheat oven to 350 F. Lightly grease two donuts pan that have 6 cavity each. In a large mixing bowl, whisk together flour, baking powder, baking soda, salt, cinnamon and nutmeg.
In another bowl, whisk together melted butter, buttermilk, egg, vanilla extract and sugar until everything is incorporated. Pour the wet ingredients to the flour mixture.
Use a rubber spatula to mix everything just until combined. Do not overmix. This batter is a bit thick.
Transfer the batter into a large Ziploc bag. Snip one corner of the bag and pipe the batter into the slots in the donut pan, until each is half full.
Bake at 350 F for 11 minutes or so, until the donuts are set and springs back to the touch. Allow the donuts to cool completely then dip them in your choice of glaze.
The Vanilla Glaze
In a medium bowl, whisk together powdered sugar, cream and vanilla extract until smooth. Add more cream as needed to adjust the consistency. You want a a glaze that is a bit flowy but not too runny. Use this glaze immediately.
The Chocolate Glaze
Place the chocolate chips in a heat resistant bowl. In a microwave safe bowl, heat the cream in 20 seconds increments until it is very hot. Pour the cream over the chocolate chips and let this sit for about 8 minutes. Stir the mixture until a nice, smooth texture is achieved. Stir the powdered sugar gradually. Use glaze immediately.
Notes
Room temperature eggs and milk. Make sure the eggs and buttermilk are at room temperature for easy mixing, and to prevent the butter from clumping.
Piping the batter. You can also use a piping bag and pipe the batter into the donuts pans, instead of a Ziploc bag.
Glazes. Choose between vanilla or chocolate glaze or do half of the batch vanilla, and the other chocolate.
Leftovers. Store leftovers in a tight container at room temperature for up to 2 days. I recommend a cake dome with lid. Or refrigerate them for longer storage of up to 4 days.
To freeze the baked donuts: You can freeze the baked donuts without glaze by wrapping them well in plastic film then in foil, Or in a well-sealed freezer safe container. Freeze for up to a month.