As per your request here I am providing you the lists of top 5 fashion schools of the world. Please check the belowlists of schools:

The list includes:

Rank Fashion Institution Location
1 Central Saint Martins, University of the Arts London UK
2 Bunka Fashion College (Tokyo) Japan
3 Kingston University (Surrey) UK
4 Parsons The New School for Design (New York) US
5 Fashion Institute of Technology (New York) US

Lists of other fashion schools:

1. Central Saint Martins (London)
2. London College of Fashion (London)
3. Parsons, the New School for Design (New York)
4. Kingston University (London)
5. Antwerp Royal Academy of Fine Arts (Antwerp)
6. Fashion Institute of Technology (New York)
7. Royal College of Art (London)
8. Bunka Fashion College (Tokyo)
9. Instituto Maragoni (Milan)
10. ESMOD (Paris)
11. Savannah College of Art and Design (Savannah and Atlanta)
12. Ecole de la Chambre Syndicale (Paris)
13. La Cambre (Brussels)
14. University of Westminster (London)
15. Studio Bercot (Paris)
16. Fashion Institute of Design and Merchandising (Los Angeles)
17. Ravensbourne College of Design and Communication (London)
18. Pratt Institute (Brooklyn)
19. Rhode Island School of Design (Providence)
20. Iowa State University (Ames, Iowa)
21. Academy of Art University (San Francisco)
22. Kent State University (Kent, Ohio)
23. Drexel University (Philadelphia)
24. Tafe Institute of Technology (Sydney)
25. Polimoda (Florence)
26. University of Art and Design (Helsinki)
27. Ryerson University School of Fashion (Toronto)
28. Hogeschool at the Amsterdam University of Applied Science (Amsterdam)
29. University of Cincinnati (Cincinnati)
30. California College of Arts (San Francisco and Oakland)
31. University of Applied Arts (Vienna)
32. LIM College (New York City)
33. School of the Art Institute of Chicago (Chicago)
34. University of Brighton (Brighton, United Kingdom)
35. LaSalle College International (Montreal)
36. KOEFIA (Rome)
37. Paris College of Art (Paris)
38. Philadelphia University (Philadelphia)
39. Instituto Europeo Di Design (Barcelona)
40. Royal Melbourne Institute of Technology (Melbourne)
41. Melbourne School of Fashion (Melbourne)
42. Nift National Institute of Fashion and Technology (New Delhi)
43. University of North Texas (Denton, Texas)
44. Otis College of Art and Design (Los Angeles)
45. Shenkar College of Engineering and Design (Ramat Gan, Israel)
46. George Brown College (Toronto)
47. University of Delaware (Newark, Delaware)
48. Stephens College (Columbia, Missouri)
49. University of Missouri (Columbia, Missouri)
50. Raffles Design Institute (Singapore, Shanghai, Sydney, Mumbai)