Here is the following list of some best Car Insurance Companies in Chennai which you are looking for

Car Insurance, Health Insurance and Travel Insurance Policy Online
12th Main Road,, 2nd Floor, Rai Towers, Plot No 2054, 2nd Avenue,
Annanagar,, Chennai, Tamil Nadu 600040

Easy Insurance India
New No.6 Old No. 8, 2nd Street, Kalakshetra Avenue Road,,
Thiruvanmiyur, Chennai, Tamil Nadu 600041

ICICI Lombard General Insurance - Nungambakkam High Road -Chennai
Chotabhai Centre, 2rd and 3rd Floor,, 140, Uthamar Gandhi Rd,
Tirumurthy Nagar, Thousand Lights, Chennai, Tamil Nadu 600034

Bajaj Allianz General Insurance ( Insurance agent)
Eyr Care Opticals, NO.22, Dharmaraja Koil Street,
Alandur, Chennai, Tamil Nadu 600016

Chola MS Insurance Company Ltd
Rashmi Towers, Valluvar Kottam High Rd, Subba Road Avenue,
Chennai, Tamil Nadu 600034

Tata AIG General Insurance Agent
S1, A7, V G N Ferndale, 8 Padma Street, Mogappair West,
Chennai, Tamil Nadu 600037

Royal Sundaram Alliance Insurance Company Limited
Vishranthi Melaram Towers, No.2/319 , Rajiv Gandhi Salai(OMR),
Karapakkam, Chennai, Tamil Nadu 600097

HDFC ERGO General Insurance Company
New No.528, Old No. 559, 2nd Floor, Anna Salai,Teynampet,
Chennai, Tamil Nadu 600018

Royal Sundaram Alliance Insurance Co.Ltd
No.41/1, L R Complex, Karambakkam Main Road, Karambakkam,
Porur, Chennai, Tamil Nadu 600116

SBI General Insurance Company Ltd.
Greams Road, Thousand Lights, Chennai,
Tamil Nadu