In my opinion ECE engineer have plethora of fields to apply for, some of them are

Core electronic field - where you deal with hardware design/manufacturing/quality assurance. And companies like Huwaei, Nvidia, AT&T are some of reputed companies in this field.
Core telecom field - where you work as technical confidant in pure telecom companies like Airtel,Jio, Cisco, AlcaTel
IT/Software engineer  most IT companies welcome ECE engineer for software development/QA role. Fortunately India is full of IT companies and plenty of options to apply for.
Govt/Bank job  As these fields are open to all graduates, you can also join this bandwagon.
Pursuit of Higher education  If you are interested in research/academics go for higher education like MTech/MS

Some of the other fields are:
Signal processing
Wireless Communication
Optical Communication
Robotics
Embedded Systems
Analog electronics
Digital electronics
Telecommunications
Power Electronics
Consumer Electronics
Solid State Physics
Control systems
VLSI Defense

and there are many more.
Good luck.

Below are the job profiles

• Electronics Engineer

• Electronics Design Engineer

• Telecommunications Engineering Specialist

• Electronics Test Engineer

• Electromechanical Engineering Technologist

Top Recruiters

 

BHEL

DMRC

Siemens

Texas Instruments

Intel

 

To know in detail you can refer below article

 

ECE Details

 

Good Luck!!