You can check the recommended books for GATE ME below

Design of Machine Elements -

Machine design - V.B. Bhandari

Engineering Mechanics -

Engineering Mechanics by Bhavikatti

Engineering Mechanics by Beer and Johnston,

Engineering Mechanics by R K Rajput

Fluid Mechanics-

Fluid Mechanics by R K Bansal

Fluid & Hydraulics- Modi and seth

Heat Transfer-

Industrial Engineering by O P Khanna, Buffa and Sarin

Manufacturing Engineering -

Production Technology: Manufacturing Processes, Technology and Automation by R.K. Jain

Strength of Materials-

Strength of Materials by Gere and Timoshenko, B C Unamia, Sadhu Singh, Ramamrutham

Thermal Science-

Engineering Thermodynamics by P.K. Nag

Thermo Dynamics-

Engineering Thermodynamics by P K Nag and Rajput

Thermodynamics by Cengel.

Theory of Machines-

Theory of machines by Ratan

Vibrations-

Mechanical Vibration by Grover

All the best for your preparation ad exam!!