Since their first introduction by Sony Corporation in 1991, 130 lithium-ion batteries (LIBs) have been highly important energystorage techniques for use in mobile phones and electrical vehicles. For achieving the electrification of heavy-duty vehicles and aircraft and storing solar energy in smart grids, developing much better secondary batteries with much higher specific energy will be necessary. Air-metal batteries, including Li-O2 systems with Li-rich oxides as cathode materials, are promising candidates because of their high theoretical energy density. For practical application, the challenges of Li-O2 batteries are (i) handling of electronically insulating and insoluble Li2O2 as the discharge product, (ii) low discharge capacity of Li-O2 compared to theoretical capacity, and (iii) poor electrochemical cycling owing to chemical degradation. For better electrical conduction, graphene and its analogs have been frequently used as conductive additives in cathode composites. Ideally, 3D analogs of graphene materials would be suitable for achieving better electrical conductivity and supporting the reactants at the same time.