Hello there!

With a score of 421, it seems that you have a good chance of getting a seat in Private Medical Colleges. Here are some suggestions for MBBS and BDS colleges you can choose to apply for.

MBBS :

1. Kasturba Medical College, Mangalore
2. St. John's Medical College, Bangalore
3. Hamdard Institute of Medical Science and Research, New Delhi

Here is the complete list alongwith fee structure of Private Medical Colleges accepting NEET score.

https://medicine.careers360.com/colleges/list-of-private-medical-colleges-in-india-accepting-neet

BDS:-

1. Krishna Institute of Medical Sciences, Karad
2. KLE VK Institute of Dental Sciences, Belgaum
3. Army College of Dental Sciences, Secunderabad

List of Private Dental Colleges are given here: https://medicine.careers360.com/colleges/list-of-bds-colleges-in-india

For more information on expected colleges you can get on the basis of your NEET score, use this college predictor tool.

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Good Luck!