Here are some of the well-known health insurance companies in India include:

Apollo Munich Health Insurance (Now HDFC ERGO)
ICICI Lombard General Insurance
New India Assurance Company
Star Health and Allied Insurance
Max Bupa Health Insurance
Reliance General Insurance
Bajaj Allianz General Insurance

It's essential to consider factors like coverage, network hospitals, claim settlement ratio, customer service, and premiums when choosing a health insurance provider. Additionally, it's recommended to check for the most recent reviews and ratings and consult with insurance advisors or agents for personalized advice based on your specific needs and circumstances. Always verify the latest information from reliable sources or the insurance companies directly before making a decision.