A rechargeable lithium cell comprising: (a) an anode; (b) a cathode comprising a hybrid cathode active material composed of a graphene material and a phthalocyanine compound, wherein the graphene material is in an amount of from 0.1% to 99% by weight based on the total weight of the graphene material and the phthalocyanine compound combined; and (c) a porous separator disposed between the anode and the cathode and electrolyte in ionic contact with the anode and the cathode. This secondary cell exhibits a long cycle life and the best cathode specific capacity and best cell-level specific energy of all rechargeable lithium-ion cells ever reported.