Hi,
Here are few best colleges having Aircraft Maintenance Engineering which comes under DGCA approval;
1.Wingsss College of Aviation and Technology
2. Pune Institute of Aviation Technology
3.Hindustan Aerospace & Engineering

Good luck!

While i cannot comment on the "best", i can certainly tell you the names of a few institutions and then you can judge for yourself according to your criteria.

The Bombay Flying Club ( pretty popular among students in mumbai)

Indira instutute of aircraft engineering 

Thakur Institute of Aviation Technology - TIAT

Hindustan Aerospace and Engineering- Pune, Sha- Shib

Indian Aerospace and Engineering, Sha- Shib Group