Hi there

Anna University and Madras University are both really good. But Anna University focuses more on engineering than mba or bba. 

So, Madras University is a better option specially for MBA students. Its Its  better than PSG due to,

Excellent placements. They are bringing a lot of companies and banks to hire the students. Last year, they brought 40 companies and nearly 50 students got placed. The highest package is 9 lakhs per annum and the average package is 4 lakhs per annum. The roles they offered are salesperson, relationship manager, marketing manager, assistant manager, etc. TCS is the first company to hire students from Madras University.

Hope this helps. Good luck!