What Can Substitute For Nutmeg?

For zucchini bread, I would definitely agree with epictetus: Cinnamon!

I would also add that it will taste fine without nutmeg or cinnamon if you are really stuck.

If I had run out of nutmeg and had to find a substitute I think I would try one of the following spices. Firstly I would try ground cinnamon, often used in sweet and savoury dishes. No cinnamon, then how about ground ginger? The piquancy should give your zucchini cake a real zing. As a last resort, sparingly - ground cloves.

Allspice is a separate spice altogether.  I think you are thinking of pumpkin pie spice that has those other ingredients.  Allspice would be a good substitute though.

I would also use allspice which has a little bit of cinnamon, nutmeg and other spices which is good in apple pie and banana bread and pumpkin bread or pie.

I am making a spinach lasgana it calls for a pinch of nutmeg and I don't have any

If you are using a yeast type bread recipe, cinnamon is not really good sub as it can counter the yeast production