from some quick number crunching, there's no two identical responses, perhaps not too surprisingly given the huge number of possible ways to order the songs.

these were the four closest rankings to the overall ranking measured by Levenshtein distance:

1. Blank Space
   
2. Wildest Dreams
   
3. Clean
   
4. New Romantics
   
5. All You Had to Do Was Stay
   
6. How You Get the Girl
   
7. Shake it Off
   
8. Style
   
9. Out of the Woods
   
10. I Know Places
    
11. I Wish You Would
    
12. You Are In Love
    
13. Wonderland
    
14. This Love
    
15. Welcome to New York
    
16. Bad Blood

and

1. New Romantics
   
2. Blank Space
   
3. Wonderland
   
4. Wildest Dreams
   
5. I Know Places
   
6. Style
   
7. Clean
   
8. How You Get the Girl
   
9. This Love
   
10. All You Had to Do Was Stay
    
11. I Wish You Would
    
12. You Are In Love
    
13. Shake it Off
    
14. Out of the Woods
    
15. Welcome to New York
    
16. Bad Blood

and

1. Blank Space
   
2. You Are In Love
   
3. New Romantics
   
4. Style
   
5. Out of the Woods
   
6. Welcome to New York
   
7. Wonderland
   
8. All You Had to Do Was Stay
   
9. I Wish You Would
   
10. Wildest Dreams
    
11. Bad Blood
    
12. How You Get the Girl
    
13. This Love
    
14. I Know Places
    
15. Clean
    
16. Shake it Off

and

1. Blank Space
   
2. I Wish You Would
   
3. You Are In Love
   
4. Clean
   
5. Style
   
6. Out of the Woods
   
7. New Romantics
   
8. Wonderland
   
9. Shake it Off
   
10. I Know Places
    
11. All You Had to Do Was Stay
    
12. Wildest Dreams
    
13. How You Get the Girl
    
14. This Love
    
15. Welcome to New York
    
16. Bad Blood