Methods and systems for selectively hydrogenating benzene with a supported organometallic hydrogenating catalyst are provided. An exemplary method includes contacting an arene-containing reaction stream comprising benzene and one or more additional arenes with hydrogen in the presence of a supported organometallic hydrogenating catalyst under reaction conditions effective to hydrogenate at least benzene in the arene-containing reaction stream to produce a reaction effluent having a ratio of benzene to additional arenes that is lower than a ratio of benzene to additional arenes in the reaction stream. In this method, the supported organometallic hydrogenating catalyst includes a catalytically active organometallic species and a Brønsted acidic sulfated metal oxide support.