better than any / any other
Comparing one member with the rest of its group.
Use any other when the thing compared is part of the group: She is a better editor than any other on the staff. Any without other puts her outside the staff, or includes her in the group she is beating. The same pattern holds for best, worse, oldest, and the rest.
Examples
UseThis draft is cleaner than any other we have.
AvoidThis draft is cleaner than any we have. (If this draft is one of the drafts you have.)