Hey.
Here is a list of various government medical colleges in Tamil Nadu and their respective cut offs under the State quota for the BC category in the previous year. You would require a similar range of marks for a fair chance of admission here.

ESI-PGIMSR, ESI Hospital,K.K Nagar,Chennai- 321
KanyaKumari Government Medical College- 330
Rajah Muthiah Medical College, Annamalainagar- 296
Coimbatore Medical College, Coimbatore -402
Government Dharmapuri Medical College, Dharmapuri-331
Government Vellore Medical College, Vellore- 351
Theni Government Medical College, Theni- 340
Thoothukudi Medical College, Thoothukudi- 326
K A P Viswanathan Government Medical College, Trichy -357
Tirunelveli Medical College,Tirunelveli-361
Thanjavur Medical College,Thanjavur- 378
Stanley Medical College, Chennai- 438
Madurai Medical College, Madurai- 401
Kilpauk Medical College, Chennai- 419
Madras Medical College, Chennai-477
Chengalpattu Medical College, Chengalpattu- 369
Government Thiruvannamalai Medical College, Thiruvannamalai- 319
Government Medical College & ESIC Hospital, Coimbatore, TamilNadu -339
Government Medical College, Pudukkottai, Tamil Nadu- 311
Government Medical College, Omandurar- 384
Government Villupuram Medical College, Villupuram- 326
Thiruvarur Govt. Medical College, Thiruvarur -317
Government Sivagangai Medical College, Sivaganga- 315
Best of luck!