According to NIRF 2017 ranking these are :

1. Indian Institute of Technology, Madras
2. Indian Institute of Technology, Bombay
3. Indian Institute of Technology, Kharagpur
4. Indian Institute of Technology, Delhi
5. Indian Institute of Technology, Kanpur
6. Indian Institute of Technology, Roorkee
7. Indian Institute of Technology, Guwahati
8. Anna University, Chennai
9. Jadavpur University, Kolkata
10. Indian Institute of Technology, Hyderabad
11. National Institute of Technology, Titruchirapalli
12. National Insititute of Technology, Rourkela
13. Vellore Institute of Technology
14. Institute of Chemical Technology
15. Indian Institute of Technology, Indore
16. Birla Institute of Technology and Science, Pilani
17. Indian Institute of Engineering Science and Technology, Shibpur
18. Indian Institute of Technology, Bhubaneshwar
19. Indian Institute of Technology, Patna
20. Jamia Millia Islamia
21. Indian Institute of Technology, Ropar
22. National Insititute of Technology, Surathkal
23. Indian Institute of Technology (Indian School of Mines)
24. College of Engineering, Pune
25. Shanmugha Arts Science and Technology and Research Academy

All premiwr IIT and NITs and IIITs have consistently been in top ranks for Btech courses, alongwith them there are very good reputed names which are highly covted and recommended to oursue career in Engineering.

The list with fee details and rankings shared below:-

https://engineering.careers360.com/colleges/ranking

Colleges Like BITS pilani, VNIT, KIIT, VIT Vellore, SRM Chennai, VJTI, IIST, DTU are some prominent names which have recorded great Placements scenarios.

Top exams to get into above exams are JEE makns and Advanced alongwith some Colleges also acceptibg MHTCET and BITSAT.

The cutoffs have been shared below for reference as well with colleges accepting MHTCET as well.

https://www.google.co.in/amp/s/engineering.careers360.com/articles/mht-cet-cutoff%3famp

All the best..!!!!