Both Bhawanipur Education Society and Shri Shikshayatan are reputed colleges in Kolkata. They admit their students on a merit basis. Their cut off is usually high but if you have average scores you will get a chance in their 2nd or 3rd lists.
Shri Shikshayatan is an all girls college and requires a better academic record. Both colleges are more or less the same. They differ in infrastructure, faculty and overall fees. Shri Shikshayatan has better infrastructure than Bhawanipur with better well maintained buildings, auditorium, gym and swimming pool.
Bhawanipur encourages students to join their college clubs and committees, they believe in the holistic development of the students along with academics. The college hosts, organizes and takes part in several inter-college festivals, cultural activities, competitions, etc. which take place all year long. If you prefer being around such activities then Bhawanipur is the right place for you.
The choice entirely depends on the individual and where his or her interests lie. Both are reputed institutions, so you will enjoy the perks these brands offer, you just have to choose what interests you more. A culturally active college or a college mostly inclined towards academics.