Hii aspirant ,
Coming to your question I would like to tell you the exams required for the engineering is  the jee mains which is the most important one to get admission in the best engineering colleges in India like IIT and nit ,
After that your state engineering examination that is your state engineering exam and wbjee , and after that the bitsat which gives you the way for the BITS Pilani ,
These are some top engineering entrance exams which will help you to get admission in Some top engineering colleges.
Hope this helps you , good luck.