NMIMS is a clear choice between Alliance University Bangalore and NMIMS Hyderabad.
The reason is the strong brand image of NMIMS, as it is an industry-known institute. NMIMS Hyderabad is famous for its quality education and reputation in corporate and lifestyle.
NM BBA course only has somewhere around 60 seats, so you can assume the quality of learnings you can get from there. If you are planning to start your career in finance and marketing, then NMIMS Hyderabad is the industry leader for these courses.