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The wirelessly controlled soft\u2010bodied features make them promising candidates for microrobotic manipulation and targeted operation in a noninvasive manner. Liquid\u2010bodied machine offers an ultrasoft body with extreme deformability owing to its fluid nature, enabling adaptive navigation with smooth contact with objects and environmental restrictions. Over the last decade of development, significant research progress has been achieved in wirelessly controlling liquid\u2010bodied machines for diverse manipulation applications. Herein, an overview of the recent research results in magnetic control methods and diverse microrobotic applications of liquid\u2010bodied machines is provided. Considering the control mechanisms and application challenges, ferrofluid\u2010based, liquid metal\u2010based, and liquid marble\u2010based machines are mainly discussed with a brief discussion on droplet\u2010based machines. The connection between control methods and applications is highlighted with a detailed analysis of machine\u2013object and machine\u2013environment interactions. 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