There are a number of government and non government colleges in Mumbai and outskirts.

You should have specified the particular field in which you are looking college for.

But i will name a few in different streams

Government:-

1. Elphinstone college

2. Mumbai Veterinary college

3. Grant Medical College

4. IIT Bombay

5. Maharashtra National Law University

SEMI GOVERNMENT :-

1. Bombay Hospital Institute of Medical Sciences

2. ESI-PGIMSR

The cut off all the college vary according to different entrance exams.