Is JEE mains, VITEEE, COMEDK and SRMJEE a good set of entrance exams to apply to?
the above exams such as JEE Mains, VITEEE, COMEDK and SRMJEE id most definitely a good set of entrance exams you can apply to as it covers almost all engineering colleges in India with JEE Mains covering for NITs, IIITs, GFTIs and other state colleges, VITEEE covering Vellore Institute of Technology, COMEDK covering the colleges in the state of Karnataka and SRMJEE for SRM Univerisities.
However if you are interested in some of the other entrance exams to good colleges you can apply for BITs Entrance Exam which is the entrance exam for Birla Institute of Technology or MET which is the entrance exam for Manipal Institute of Technology.
The entrances which you have mentioned are absolutely good ones. But you can add one more state level entrance that mhtcet as there is really a very good set of colleges like ict mumbai,thakur college,narsee monjee and many other colleges. You can emit SRMJEE as you are giving one state level entrance that is comedk.