Dear Shajeer, NEET is the entrance examination for admission into Medical, Dental and Ayush colleges across India. So you needn't worry if you haven't applied for NEET. You also missed JEE Mains for April session. JEE covers most of the IITs, CFTIs and NIITs. Just like KEAM, there are state level Entrance examinations. Though domicile will play an important role, you can give it a try. You can also try TNEA which is conducted by Anna University, Tamilnadu. So you have to try in State level Entrance examinations for each state like AP EAMCET, TS EAMCET. 

Hi shajeer  P,

There are other engineering entrance exams whose application dates are still not over.

1) Manipal

2)SRM

3)Comedk

You can apply for them but for these colleges last date to apply is coming .apply for them soon.

All the best.