The 10th Robotic Grasping and Manipulation Competition (RGMC) at ICRA 2025. RGMC has been running for nine editions at either the IEEE/RAS International Conference on Robotics and Automation (ICRA) or the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), since 2016 [1]. Across the editions, we engaged the community with various tasks for manufacturing, service robots, and logistics. These tasks include assembling and disassembling boards, hand-in-hand grasping, picking and placing various objects, pouring liquids into a cup, bin picking, rearranging and setting formal tables, folding and unfolding cloths, and receiving objects handed over by a person. RGMC will advance research and technology towards more realistic scenarios that can be encountered in daily activities at home or in warehouses, and will increase the interest of the community in solving the open challenges associated with robotic grasping and manipulation.