Here I am giving you name of some best entrance examination for that you can apply after passing intermediate examination .

JEE Advanced Indian Institutes of Technology Joint Entrance Examination
JEE Main Joint Entrance Examination Main
BITSAT Birla Institute of Technology and Science Admission Test
ENAT EPSI National Admission Test
VITEEE Vellore Institute of Technology Engineering Entrance Exam
GATE Graduate Aptitude Test in Engineering
ISAT IIST Admission Test
WAT Written Admission Test
MERI Entrance Exam Marine Engineering & Research Institute Entrance Exam
NEAT National Engineering Aptitude Test
NATA National Aptitude Test in Architecture
ECET FDH Engineering Common Entrance Test for Diploma Holders ECET
MHTCET Maharashtra's Common Entrance Test
TNEA Tamil Nadu Engineering Admissions
UPSEE Uttar Pradesh State Entrance Exam
COMEDK Consortium of Medical, Engineering and Dental Colleges of Karnataka
EAMCET Engineering, Agriculture and Medicine Common Entrance Test
KEAM Kerala Engineering Architecture Medical Examination
BPEE CET Jammu and Kashmir Board of Professional Entrance Examinations Common Entrance Test
Punjab CET Punjab Technical University Combined Entrance Test
Orissa JEE Orissa Joint Entrance Examination
RPET Rajasthan Pre Engineering Test

Medial entrance exams :
AIIMS
AIPMT
AUAIMEE
AICEE
AIMS
AFMC
BHU Medical Entrance Exam
COMEDK