See each colleges have there own strong courses and not so good courses. But if you want to know about the best from a general perspective then some of the best BA colleges in Odisha which are very potent to deliver good and standard education are:

Government Autonomous College, Rourkela

Khallikote Autonomous College, Berhampur

Government Autonomous College, Bhawanipatna

Fakir Mohan Autonomous College, Balasore

Government College, Sundargarh

For more government colleges you may visit the link below:

https://university.careers360.com/colleges/list-of-ba-degree-colleges-in-india?ownership=Public/Government&state=Odisha

I hope this answer helps. All the very best for your future endeavors!