When you make your dining reservations you can note special dietary requests. At Table Service restaurants the chef will consult with you to advise you which options on the menu are vegan, or they may offer to make a special dish just for you (based on their time constraints and ingredients on hand). At Quick Service restaurants you can request an ingredient list to determine which choices are vegan, and sometimes you may speak to a chef there too. One great option for vegans is Babycakes NYC in Downtown Disney. They offer lots of tasty sweet treats that are vegan (and allergen) friendly.