After graduation in EEE, opportunity of getting good job is very nice as there are many options which you can go for, few of them are mentioned below, please go through it and choose accordingly to your interest and capability -

Jobs directly related to your degree include:
Broadcast engineer
Control and instrumentation engineer
Electrical engineer
Electronics engineer
IT consultant
Network engineer
Nuclear engineer
Systems analyst

Jobs where your degree would be useful include:
Management consultant
Multimedia programmer
Project manager
Technical author
Technical sales engineer


Hope this helps!!!

Good Luck!!!