Hello,  hope you're doing well
Best college without entrance exams are those one which take admission on merit basis.
One of the best colleges on merit basis are in Delhi University. Both in north and south campus have good colleges which are popular for academics and extra curricular activities.

Hi Dear,

There are many colleges in India offering admission in different courses without entrance exam. Most of these colleges offers admission on the basis of marks in qualifying exams. However, the college admission process differs from course to course. Kindly mention the course you want to enroll yourself to, so that I can help you with appropriate list of colleges.

good Luck