I think you know that the best colleges in India
is IIT NIT IIIT and some famous colleges.with top ranking.
SO these are some colleges:
IIT BOMBAY
IIT DELHI
IIIT KANPUR
IIT PATNA
IIT KHARAGPUR
IIT ROORKEE
NIT TRICHY
NIT WARANGAL
NIT ALLAHABAD
NIT KURUKSHETRA
IIIT HYDERABAD
etc.
Pec Chandigarh
These are all under jee exam.
Some other colleges also which have their own entrance exam
BIT PILANI
VIT VELLORE
IPU- CET.
some college have their own counseling based on JEE mains marks.
Thapar
DTU
NSIT
MURTHAL
colleges are n Delhi.
So good luck

Colleges for engineering are
IIT NIT Bits pilani jadavpur vit kit Haldia institute of technology heritage institute of technology iem

Hi

Greetings

There are many engineering colleges in India and almost all the colleges of for mechanical engineering courses there for first used to specify a few criteria to sort the colleges because if you just ask this questions then we can provide you the top colleges for engineering in mechanical the top colleges are IIT NIT and other private top colleges searches bits VIT and  for complete details please visit the link

https://www.careers360.com/mechanical-engineering-course

All the best