India

1. Computer science:
Software engineers are the most sought in India. So, it is no surprise that this branch is leading. This branch offers higher pay packages than any other branch as well as ample overseas job opportunities. If you have an interest in database management and application development, you should seek out this engineering discipline.
2. Electronics and communication:
In this, you will learn all about digital electronics and logic design, fundamentals of communication engineering, electronic circuits, signals and systems, power electronics, applied electromagnetic theory, integrated circuits, VLSI etc. You can go for this engineering specialization, if you have a strong base in calculus and physics.
The telecommunications industry and mobile development industry have been progressing by leaps and bounds in the last few years and would offer excellent opportunities to graduates.
3. Electronics and electrical:
Transmission and generation of electrical power, electrical circuit design, electronics, instrumentation, control systems etc. The government sectors has more opportunities in this field. It is an evergreen field.
4. Mechanical engineering:
There will always be opportunities here, despite varying market trends. It is one of the oldest and most demanding branch of engineering and therefore one of the broadest. As a mechanical engineer, you will get to design, analysis, manufacture and maintain anything that moves.
5. Civil engineering:
This branch is looking up these days mainly due to the numerous infrastructure projects that are in the pipeline for India. It is a challenging profile, but immensely satisfying as well. Also, with the green way of living gaining popularity across the world, the role of a civil engineer often overlaps with that of an environment engineer as he needs to plan his projects in an environment-friendly manner.
Apart from this, chemical engineering, bio-technology are other upcoming branches, which are attracting students with the advancement in the technology.