IITs, NITs and IIITs are considered top colleges for engineering in India which take admission through Jee mains and Jee Advanced ( for IIT ). There are also some great private colleges, I will list down some of them located in Bangalore ;

1. BMSCE Bangalore - BMS College of Engineering

2. NHCE Bangalore - New Horizon College of Engineering

3. RVCE Bangalore - RV College of Engineering

4. PES University

5. Ramaiah Institute Of Technology

Hope this helps :)