Dear Aspirant,

Anna University is one of the top institutes where you may pursue your course of choice in Manufacturing Engineering. However, there are chances for other universities or institutes to be better than Anna University. As you have not specified in your query which private universities you are talking about, it is hard to give the appropriate details as to what might be a better option. Hence it is recommended that you do proper research into the universities and choose one which is bets suited for you.