There are many best government colleges for Architecture Engineering and some of them are as follows.

1) School of Planning and Architecture ,New Delhi

2) Indian Institute of Technology Roorkee (IIT Roorkee)

3) CEPT University, Ahmedabad

4) Sir JJ College of Architecture ,Mumbai

5) BIT , Mesra

6) Jamia Millia Islamia University , New Delhi

For more information you can go to the link given below.

Link :- https://engineering.careers360.com/colleges/list-of-architecture-engineering-colleges-in-india

I hope your question has been answered properly.

All the best for your future!