Hi pal,
Here the list of some colleges/ Universities which provides education in b.sc (anesthesia) .

1.AllMS delhi.

2.Aligarh muslim university UP.

3. Mahatma Gandhi mission Institute of Health science mumabi.

4. Indira Gandhi Medical College Shimla.

5. Armed forces Medical College Pune.

6. Government Medical College and Hospital Chandigarh.

7. Ks hedge medical academy mangalore.

8. Sri Venkateswara Institute of Medical Science Tirupati.

Hope this will help you.
Good luck.

Thank you for your question.

I have mentioned two colleges which do provide Bachelor in science,  anaesthesia in Mumbai.

Kohinoor College of Paramedical Science

Mahatma Gandhi Mission Institute of Health Sciences - MGMIHS

TOPIWALA NATIONAL MEDICAL COLLEGE ( TNMC),MUMBAI

Good luck.