That is a very huge list. I will just give some links that I find good. For hyderabad check https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-hyderabad
And for Karnataka check https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-karnataka. You do know that you will have to appear for either TS EAMCET/AP EAMCET or Karnataka CET. Here you need to check the eligibility as you can't write both - domicile requirments. However you can try COMEDK UGET for private colleges in Karnataka. There is also Pessat for PES University. BITS hyd - you will have to write BITSAT.