Hello Aspirant, 

For your rank and category I have found that you can get these following courses from JNTU Hyderabad :

• Chemical engineering 
• Mechanical engineering
• Electronics and Communication Engineering 
• Metallurgical Engineering 

From Osmania University you have eligibility of only one course that is Textile Engineering.

As you have have a good rank and free reservation category you have plenty of choices from other colleges all over the city and state. To know the different poplar colleges which provide you a worthable course and provide fee reimbursement to you use - https://www.careers360.com/ts-eamcet-college-predictor