Apart, from NEET you can appear in AIIMS and JIPMER. 

AIIMS

Aspirants interested in appearing for the AIIMS MBBS 2018 entrance exam will be able to apply for 707 seats across seven different AIIMS institutions. AIIMS New Delhi will offer 107 seats, while the other AIIMS institutions located in Bhopal, Bhubaneshwar, Jodhpur, Patna, Raipur and Rishikesh will each offer 100 seat

It is expected that AIIMS application form will be out tentatively in the month of February 2018.

JIPMER

Application form of JIPMER will be available from 3rd March. 

The MBBS entrance exam of JIPMER offers admissions to 150 seats at the JIPMER Puducherry campus and 50 seats at the JIPMER Karaikal campus. 

Good Luck!!