Hey.

Here is a list of various exams that you can take after 12th in Non medical Stream.

JEE Mains Paper 1

JEE Advance(if you clear JEE Mains).

BITSAT

COMED-K

WBJEE

MHCET

JEE Mains Paper 2 (for architecture)

NATA(for architecture)

SAT(for applying at international institutions)

SRMJEE (for SRM University)

VIT University Engineering Entrance Exam (VITEEE)

KIITEE(for Kalinga Institute of Industrial Technology)

Indian Navy B.Tech Entry Scheme.

Best of luck!

http://vikaspedia.in/education/career-guidance/entrance-examinations/competitive-exams-after-12th

The link below has all the details about non-medical competitive exams in different fields such as Engineering, Agriculture, Defence, Law, Humanities etc.

Hope this helps, good luck!