Hey Sachin, 

The top engineering colleges in Karnataka are. 

• IISc Bangalore 
• IIIT Bangalore
• NIT Surakhtal 
• RVCE
• BMSIT
• RIT
• MIT Manipal
• PES University 

And many more. 

These are some top rated colleges in Karnataka and have different exams for entrance like IISc accepts JEE Advanced score, NIT Surakhtal and IIIT accepts Jee Mains score, most of above accepts COMEDK score and so on.

Hope it helped..