In a large bowl, combine flour, baking powder, baking soda, cinnamon, salt, and sugar. In a separate bowl grate zucchini and squeeze any excess water out.
In a separate bowl, beat together eggs, bananas, oil, and vanilla extract.
Combine egg mixture into the dry ingredients.
Fold in grated zucchini and chocolate chips.
Pour batter into a well-oiled loaf pan.
Bake at 350°F for about 45 minutes, or until a toothpick inserted into the center comes out clean.