Hey,
Here is the list of some of the colleges that offer Bachelor of Science(B.Sc) in anaethesia in Tamil Nadu:
1.Miot International,Chennai
2.Frontier Lifeline Hospital
3.M.M.M College of Health Sciences
4.Surabi School of Nursing
5.Christian Medical college,Vellore
6.Sri Ramchandra University,Chennai
7.SRM University Kattankulathur
8.Annamalai University
9.Vinayaka Mission University,Salem
10.Noorol Islam University
11.DR.MGR Medical University
12.Hindustan Institute of Technology and Science
13.Sri Gokulam College of Nursing
14.MERF Institute of Speech and Hearing
15.Indira Gandhi College of Distance Education
Hope this helps.
Good luck.

Hello Vincent.. for bsc anesthesia in tamilnadu , apollo institute of Hospital management and Christian college are the top most college in tamil nadu.. they have good infrastructure! 

Also surabhi college is one of the best college in tamil nadu.. 

all The best