I do eat eggs and dairy - and lots of 'em - but I have a really good vegan chocolate cake recipe which I will paste below. Churros are also vegan and delicious, and they're not really hard to make if you know how to deep-fry. Direct substitution for dairy ingredients is mostly disappointing, although coconut products can do some neat things and coconut oil often substitutes straight across with butter.

1 1/2 c flour
1 tsp baking soda
1 c sugar
1/4 c cocoa or carob powder
1/2 tsp salt
1 tablespoon white vinegar
1 tsp vanilla
1/3 c canola oil
1 c water

Preheat oven to 350º. Mix the dry ingredients in an 8" square pan. Add the wet ingredients and stir well, making sure the edges and corners of the pan are not omitted. When the batter is smooth and incorporated, bake for 30 minutes or until a toothpick inserted in the center comes out clean.