There are more than 400 Private Engineering Colleges across India that accept entrance examination scores like JEE Mains, BITSAT, KCET, COMEDK, MHTCET, etc. And few Private Engineering Colleges that are the best are:

1. BITS
2. VIT
3. Thapar College of Engineering
4. Amity University
5. SRM Institute
6. Kalinga Institute
7. Manipal Institute

You can check the complete list at: https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India

As the entrance exam differs, so does the eligibility criteria. For example, to qualify for JEE Mains, there is no minimum aggregate criteria. But if you want to join NITs, IIITs or CFTIs then you should score a minimum aggregate of 75% only in your 12th. 11th marks aren't considered. And then to appear for JEE Advanced which is the gateway for admission to IITs, you will need to fulfill the 75% aggregate condition. Now it is 75% for General Category and 65% for Reserved Categories. So how much you score in 12th is what matters to secure your eligibility for NITs, IIITs, CFTIs and JEE Advanced.