Dear abu 

Yes there are a millions of government jobs other than gate 

You can apply all state degree exams or central exmas 

You can go for ssc , govermeng bank job,state exams , sperate exams of government companies which provided in thier website for example isro 

Best of luck 

You can write below entrance exams-

 1- Railways- There are many jobs in Indian Railways for Mechanical Engineers the recruitment for which is conducted by Railway Recruitment Board. The list of some important position for Mechanical Engineers are:

2- Banking- Mechanical Engineers can Join Banking sector for various posts such as junior engineer, Bank PO through exams like IBPS PO exam. Probationary Officer is like a Class-I officer & holds the post of lower level management in Public sector banks.

 3- Indian Army, Indian Navy and Indian Airforce- 

UES: This is a University Entry Scheme exam and only final year students are eligible to apply.CDS: Union Public Service Commission (UPSC) conducts Combined Defense Services (CDS) examination twice a year for the recruitment of officers into Indian Military Academy, Officers Training Academy, Indian Naval Academy and Indian Air Force Academy.

CDS: Union Public Service Commission (UPSC) conducts Combined Defense Services (CDS) examination twice a year for the recruitment of officers into Indian Military Academy, Officers Training Academy, Indian Naval Academy and Indian Air Force Academy.TES: This is Technical Entry Scheme (TES) and only B.Tech applicants can apply.

TES: This is Technical Entry Scheme (TES) and only B.Tech applicants can apply.GDOC: B.Tech students can apply for this exam, which is Ground Duty Officers Course exam.

GDOC: B.Tech students can apply for this exam, which is Ground Duty Officers Course exam.

 4- Engineering Services Examination- Every Single Year Union Public Service Commission (UPSC) conducts Engineering Services Examination, which is the most prestigious examination, held in India.

Mechanical Engineers are shortlisted through this exam for various services listed below:

• Border Roads Engineering Service (Border Roads Organisation)
• Border Roads Engineering Service (Border Roads Organisation)
• Indian Supply Service (Directorate General of Supply and Disposals)
• Central Engineering Service (Ministry of Road Transport & Highways)
• Indian Railway Stores Service
• Central Electrical & Mechanical Engineering Service (Central Public Works Department)
• Central Power Engineering Service (Central Electricity Authority)

5- Staff selection commision- This is one of the high paying job in government sector. As SSC recruits graduates for the Class-II, III & IV posts Officer/Official in various ministries & dpartments