You can check the top colleges from the given below link

 

Indian Institute of Technology, Bombay

Hindustan University, Chennai

Indian Institute of Aeronautical Engineering, Dehradun

Indian Institute of Technology, Madras

IIST, Thiruvanatapuram

Indian Institute of Technology, Kanpur

Indian Institute of Technology, Kharagpur

 

To check the complete list you can refer below link

 

Top Enginering Collegs

 

Good Luck!!

You can consider below names -
1. IIT Bombay 2. Hindustan University, Chennai 3. Indian Institute of Aeronautical Engineering Dehradun 4. IIT Madras 5. Indian Institute of Space Science and Technology Thiruvananthapuram 6. IIT Kanpur 7. Instittute of Aero Engineering, Kanpur 8. IIT Kharagpur 9. Punjab Engineering College, Chandigarh 10. Park College of Engineering and Technology Coimbatore 11. Sri Shakthi Institute Of Engineering and Technology, Anna University, Coimbatore 12. University College Of Engineering, Rajasthan Technical University, Kota 13. KCG College of Technology, Chennai 14. Sri Ramakrishna Engineering College, Coimbatore 15. Kumaraguru College of Technology Coimbatore 16. Jaya Engineering College, Chennai 17. Bengal Engineering and Science University, Shibpur- 18. National Institude of Aeronautics Engineering Delhi 19. Mohamed Sathak Engineering college, Kilakarai 20. Amity Institute of Aerospace Engineering, Amity University 21. Amity Institute of Space Science and Technology, Amity University 22. Anna University, Chennai 23. Bannari Amman Institute of Technology 24. Er.Perumal Manimekalai College, Koneripalli, Hosur 25. Rajalakshmi Engineering College, Thandalam, Chennai 26. Karunya University, Coimbatore, Tamilnadu 27. LakiReddy Balireddy College of Engineering (Autonomous), Mylavaram, Andhra Pradesh 28. Babu Banarsi Das National Institute of Technology and Management, Lucknow 29. Nimra Institute of Science and Technology, Vijayawada 30. Birla Institute of Technology, Mesra 31. Manav Rachna International University Faridabad 32. Madha Engineering College, Kundrathur, Chennai 33. Malla Reddy College Of Engineering & Technology, Hyderabad 34. Bandari Srinivas College of Engineering and Technology Ranga Reddy 35. Marri Laxman Reddy Institute of Technology, Dunigal, Hyderabad - www.mlrinstitutions.ac.in/ 36. Institute of Aeronautical Engineering, Hyderabad 37. Madras Institute of Technology 38. Manipal Institute of Technology 39. New Horizon College of Engineering Bangalore 40. Jeppiaar Engineering College, Sozhiganallur, Chennai 41. Pullareddy Institute of Technology Medak 42. Institute of Engineering Science and Management, IESM,Indore 43. Hindusthan Institute Of Technology, Coimbatore 44. Hindustan Aviation Academy, Karnataka, Bangalore 45. Hindustan Institute of Technology and Science, Chennai 46. SRM University, Chennai 47. Sathyabama University, Chennai 48. Tagore Engineering College, Chennai 49. VSM Aerospace, Bangalore 50. Sardar Vallabhbhai Patel Institute of Technology, Vasad 51. Noorul Islam University, Kanyakumari 52. C.M. Engineering College 53. Amrita University, Ettimadai, Coimbatore 54. Hindusthan College of Engineering and Technology, Coimbatore 55. Nehru College of Aeronautics and Applied Sciences Coimbatore 56. Indian Institute for Aeronautical Engineering & Information Technology, Pune 57. Maheshwara Institute Of Technology (MITP), Hyderabad 58. University of Petroleum and Energy Studies Dehradun etc.
Good Luck!

Here are some of the colleges name you can prefer for Aerospace Engineering.

Manipal Institute of Technology, Manipal

PEC University Chandigarh

Anna University Chennai

Indian Institute of Space Science and Technology, Thiruvananthaparam

You can check complete list of colleges with given below link.

Aeronautical Engineering colleges