Hey.
There are various number engineering courses offered all over the world. Here is a list of a few top courses-

Aerospace Engineering
Computer Science Engineering
Mechanical Engineering 
Electrical Engineering 
Civil Engineering
Engineering Electronics and Communication Engineering
Information Technology 
Aeronautical Engineering
Automobile Engineering
Automation and Robotics Automation and Robotics
Electrical and Electronics Engineering 
Architecture Engineering 
Mechatronics Engineering 
Electronics and Computer Engineering 
Chemical Engineering
Electronics and Telecommunication Engineering 
Aircraft Manufacturing and Maintenance Engineering
Petroleum Engineering 
Biotechnology Engineering
Electronics and Instrumentation Engineering 
Automotive Engineering
Agricultural and Food Engineering 
Petrochemical Engineering
Building and Construction Engineering
Nuclear Engineering 

Admission in these in various engineering colleges can be done through entrances like- JEE Mains, JEE Advanced, state level entrances like WBJEE, UPSEE,  COMEDK etc