I can't rank the colleges in Pune as a lot of them are the best for engineering, but I would like to list our the finest colleges in Pune.

College of Engineering, Pune,
Maharashtra institute of technology,
Maeers MIT college,
Vishwakarma institute of technology,
Vishwakarma institute of information technology,
Pune institute of computer technology,
Pune vidhyarthi Graha college of Engineering,
Pimpri chinchwad college of engineering,
Sihnagad institute of engineering,
Army institute of technology,
Defense institute of advanced technology.

As per my knowledge these are the famous and good colleges in Pune
All the Best.

You can appear in JEE Main or MHT CET to take admission in private colleges of Maharashtra. 

It is advisable to apply through JEE Main as it  will be prefferend over MHT CET.

 

You can check the top private engineering colleges below

Bharati Vidyapeeth Deemed University College of Engineering, Pune

Maharashtra Institute of Technology, Pune

MIT College of Engineering, Pune

Pune Institute of Computer Technology, Pune

Vishwakarma Institute of Technology, Pune

 

Good Luck!!