Burritos dont necessarily have to have beans, its just that an overwhelming amount of them do, on both sides of the burrito border (as burritos were made popular in northern Mexican areas, and all the border states that border mexico)

The burrito isn’t traditional food in terms of entire country and is very regional. Really the requirement of a burrito is that its a flour tortilla (as corn would make it closer to an enchilada) that wraps ingredients, typically a protein and/or some rice and beans with other additions and is served warm (where wraps are usually served cold)

There usually arent named examples of burritos without beans on the southern half, but no one would remove the burrito name if one chose to remove the beans from it. On the northern side of the border, examples of beanless burritos would be a breakfast burrito, or a california burrito(sub beans for fries)