Direct conversion of methane, other hydrocarbons, and alcohol at lower temperatures can be achieved using plasma or an electric field and catalysts. Non-equilibrium plasma enables activation of stable molecules including methane, carbon dioxide, and water, even at low temperatures, by virtue of high electron energy. Use of a hybrid system of plasma and catalyst provided high conversion and selectivity to products by virtue of adsorption on the catalyst. Imposing a DC electric field to the catalyst bed also promotes catalytic reactions, even at low temperatures. Two mechanisms for electro-catalytic reactions are proposed for the DC electric field imposition: reactant activation by surface protonics and production of active surface oxygen species on the catalyst. This review presents summaries of these novel processes.