Owing to their robust Li-ion storage properties induced by the entropy stabilization effect, transition-metal-based high entropy oxides are considered promising electrode materials for use in Li-ion batteries. In this work, full-cells comprising (Co0.2Cu0.2Mg0.2Ni0.2Zn0.2)O anode and LiNi1/3Co1/3Mn1/3O2 cathode were assembled to explore their potential for practical applications. The cycling performance was studied by different electrochemical experiments. The cells were found to deliver an initial specific discharge capacity of 446 mAh g−1, which was maintained at 300 and 256 mAh g−1 after 50 and 100 cycles, respectively, and they showed stable cyclability even at specific currents of 1.6 A g−1. More importantly, high specific energy and power densities of about 240 Wh kg−1 and 320 W kg−1 were achieved. Additionally, pouch cells of total capacity 2.5 mAh were built and successfully employed as a power source.