There are many Gov. colleges except IIT. Here I am providing you the colleges name & eligibility to apply you can prefer.

ISM Dhanbad- It takes the admission through JEE Advance. To apply in this college you should have 75% in class 12th or you should be in 20th percentile & 65% as a reserved category. For further you can go through with given below link.

ISM Dhanbad Admission

Rajiv Gandhi Institute of Petroleum Technology (RGIPT), Uttar Pradesh - Admission will be based on JEE (Advanced) - 2017 Rank List*. The candidate should have 60% minimum aggregate marks (55% in case of SC/ST/PH) in class 12 th or equivalent. For further you can go through with given below link.

Rajiv Gandhi Institute Admission

Good Luck!

You can consider below colleges (Govt + Private) -

1. Indian School of Mines University(ISM), Dhanbad

2. Rajiv Gandhi Institute of Petroleum Technology (RGIPT), UttarPradesh

3. University of Petroleum & Energy Studies (UPES), Dehradun

4. Pandit Deendayal Petroleum University (PDPU), Gandhinagar

5. Maharashtra Institute of Technology (MIT), Pune

6. M. S Engineering College, Bangalore

7. L.D College Of Engineering, Ahmedabad

8. G.H Patel College Of Engineering, Vallabh Vidyanagar, Gujarat

9. Universities of Petroleum and Energy Studies(UPES), Dehradun

Hope this helps!!!

Yes, there are many good colleges who offer petroleum engineering course. You can find the list below-

1. University of Petroleum & Energy Studies (UPES), Dehradun
2. Pandit Deendayal Petroleum University (PDPU), Gandhinagar
3. Maharashtra Institute of Technology (MIT), Pune
4. M. S Engineering College, Bangalore
5. L.D College Of Engineering, Ahmedabad
6. G.H Patel College Of Engineering, Vallabh Vidyanagar, Gujarat
7. Rajiv Gandhi Institute of Petroleum Technology (RGIPT), Uttar Pradesh

Good Luck!!