If you are doing some baking and are on a vegan diet, here are some good substitutes for egg:
Mashed up banana
Flax seed egg
1 tsp of baking powder + 1 ½ tbs. water + 1 1.2 tbs. oil or 1 tbs. vinegar + 1 tsp baking soda = 1 egg
Milk substitutes are easier to replace than eggs. Here are some suggestions
Almond milk (personal favourite)
For foods such as mashed potatoes, use vegetable oil or coconut oil for a creamy texture.