For which exams I can appear other than gate , as I am preparing for gate now.

Here is a long list, you may choose as per your preference.

CSIR-NET CSIR: Human Resource Development Group

ISI Indian Statistical Institute

CMI Chennai Mathematical Institute

Joint Entrance Screening Test

TIFR Tata Institute of Fundamental Research

Indian School Of Mines, Dhanbad

Institute of Technology, Banaras Hindu University

BITS Pilani Entrance for ME.

IIIT Hyderabad PGEE for MTech/MS.

All other IIITs Indian Institute of Information Technology (IIIT)

Motilal Nehru National Institute of Technology, Allahabad

TANCET (Tamil Nadu Common Entrance Test)

Post Graduate Common Entrance Test (PGCET) Karnataka

Post-Graduate Engineering Common Entrance Test (PGECET)

Jawaharlal Nehru University

National Institute of Technical Teachers Training and Research, Chandigarh - Master of Engineering Entrance exam

North Eastern Regional Institute of Science and Technology (NERIST) entrance examination

Post Graduate Common Entrance Test (PGCET) Karnataka

Dhirubhai Ambani Institute of Information and Communication Technology Entrance exam

GAT - Gitam University Online Entrance Test

GGSIPU Engineering CET Entrance exam

Institute Of technology, Nirma University, Ahmedabad

International Institute of Information Technology (IIIT) Bhubaneswar M.Tech Entrance exam

Jamia Milia Islamia, New Delhi

Kalinga Institute of Industrial Technology Entrance Exam

KARNATAKA CET

Kerala University M.Tech Entrance Exam

LNM Institute of Information Technology, Jaipur - M.Tech Entrance exam

Avinashilingam Deemed University for Women, Coimbatore Engineering Entrance Examination

Bharath University Engineering Entrance Exam

Birla Institute of Science & Technology - BITSAT  Entrance exam

BSAUEEE- B.S. Abdur Rahman University Engineering Entrance Examination

Calicut University M.Tech entrance exam

DA IICT Entrance exam

Deenbandhu Chhotu Ram University of Science and Technology Murthal M.Tech Entrance exam

Manipal Institute of Technology, Karnataka

Post-Graduate Engineering Common Entrance Test (PGECET)

PTU CET

Regional Institute of Science & Technology (RIST) Meghalaya - M.Tech Entrance exam

SRMEEE  SRM Engineering Entrance Examination

TANCET (Tamil Nadu Common Entrance Test)

University of Petroleum and Energy studies, Dehradun UPES-SEAT Engineering Entrance Test