1. ACE Academy: In every year thousands of people are taking coaching from this institute.This is the one of the best institute which succeeded in giving better coaching to GATE and it is located in Hyderabad.
2. Made Easy: This is also one of the successful institute for Both IES and GATE coaching,They have different branches in across India.They take limited students per class.
3. Gate forum: This is the one of the coaching centers which offers online classes for GATE.They have different branches across India.
4. Lead Tirupati: It is also one of the successful GATE coaching institute is located in Tirupati(Andhra Pradesh).
There are so many institutes but the above four are the most famous institutes across India.If you want to prepare for both GATE and PSU jobs or any govt core jobs its better to take IES coaching it will useful for both GATE and jobs . wherever you Join without your hard work none of the institutes will give better result to you.
Other institutes: Vani Institute Bangalore, Dronacharya(delhi) etc…