Do I need to get any other degree after diploma in anesthesia to become an anesthesiologist?

Dear Ramya, to be honest it depends on the Institution/University that you want to pursue your course in. Because this is an University level course, few Institutions conduct admissions based on Entrance Examination while few Institutions conduct admissions based on merit scored in the highest qualification. For both procedures, you should have completed your 10+2 in Science stream with a minimum aggregate of 50%. There is no State level or National level Entrance examination per se. If you have any college in mind, do let us know and we will help you with the admission procedure.