I would suggest you to go through the below names -

Indian Institute of Technology, Madras

College of Engineering, Anna University, Chennai

Madras Institute of Technology, Chennai

St. Joseph's College of Engineering, Chennai etc.

To know the complete list of colleges, you can check the below link -

Top Engineering Colleges in Chennai

Hope this helps!!!

Below are the top colleges for engineerig in chennai

Indian Institute of Technology, Madras

College of Engineering, Anna University, Chennai

Madras Institute of Technology, Chennai

St. Joseph's College of Engineering, Chennai

Vel Tech, Chennai

Alagappa College of Technology, Chennai

Easwari Engineering College, Chennai

Sathyabama University, Chennai

Velammal Engineering College, Chennai

To check the complete list you can refer below link

Top Engineering colleges in Chennai

Good Luck!!