Anodes, cathodes, and separators for batteries (electrochemical energy storage devices). The anodes are Li metal anodes having lithiated carbon films (Li-MWCNT) (as dendrite suppressors and protective coatings for the Li metal anodes). The cathodes are sulfurized carbon cathodes. The separators are GNR-coated (or modified) separators. The invention includes each of these separately (as well as in combination both with each other and with other anodes, cathodes, and separators) and the methods of making each of these separately (and in combination). The invention further includes a battery that uses at least one of (a) the anode having a lithiated carbon film, (b) the sulfurized carbon cathode, and (c) the GNR-modified separator in the anode/cathode/separator arrangement. For instance, a full battery can include the sulfurized carbon cathode in combination with the Li-MWCNT anode or a full battery can include the sulfurized carbon cathode in combination with other anodes (such as a GCNT-Li anode).