These are the list of some prestigious national level agriculture college in India:-

1.National Dairy Research Institute (NDRI), Karnal

2. Indian Agricultural Research Institute (IARI), Delhi

3. Acharya N.G. Ranga Agricultural University (ANGRAU), Hyderabad

4. Chaudhary Charan Singh Haryana Agricultural University (CCSHAU), Hisar

5. University of Agricultural Sciences (UAS), Bangalore

6. Tamil Nadu Agricultural University (TNAU), Coimbatore

7. G B Pant University of Agriculture and Technology (GBPUA&T), Uttarakhand 

8. Punjab Agricultural University (PAU), Ludhiana

9. Indian Veterinary Research Institute (IVRI)

10. Central Institute of Fisheries Education (CIFE), Mumbai

You can get admission in these colleges by ICAR entrance exam and you can also get admission in agricultural colleges by giving state level entrance exams.

Hello

Agricultural Engineering colleges in India are-

Indian Institute of Technology Kharagpur
Maulana Abul Kalam Azad University of Technology

College of Technology, GB Pant University of Agriculture and Technology
Admission to the colleges is done on the basis of JEE Main, JEE Advanced exams. Also, eligibility criteria and admission process can vary from college to college.

You can go through the link below and check the complete list of colleges

 https://engineering.careers360.com/colleges/list-of-be-btech-in-agricultural-engineering-colleges-in-india

Good luck!