After completing Bachelor of engineering in Electronics and Communication you can apply for Civil Service, Defense, and Railways entrance examination. You can also apply for the entrance examinations of following government organizations:

Indian Space Research Organization
Bharat Sanchar Nigam limited
Jobs in Railway- IES Indian Engine Ring Services
Bharat Heavy Electronics Limited
Steel Authority of India Limited
Gas Limited
National Thermal Power Corporation
Electronics Corporation Of India Limited
BARC- Bhabha Atomic Research Center
UPSC- Union Public Service Commission
Indian Navy

As on 5 July 2014 following private jobs are available:

Technical Assistant
Explore Placement Solutions - Bangalore,
Karnataka

Fresher for Manual/Automation Testing
Sylix Pro Technologies Coimbatore,
Tamil Nadu

Junior Associates
Global Smart Technologies & Solutions Pvt Ltd - Coimbatore,
Tamil Nadu