Oxygen concentrations above 99.5% are required for several applications, mainly in the medical and aerospace fields. Two-stage pressure swing adsorption (PSA) processes, combining kinetic separation with equilibrium separation, have been developed for producing 99+% oxygen from air. Argon and nitrogen are kinetically removed from the air feed using a carbon molecular sieve adsorbent and the remaining nitrogen is removed using a N-2/O-2 selective zeolite. Despite that, two-stage processes are often unattractive, complex, and energy consuming, requiring two or more compressors/vacuum pumps. Moreover, most of the two-stage units described in literature are unable to reach the required oxygen purity of 99.5%. This work studies three energy-efficient two-stage vaccuum PSA (VPSA) processes, combining an equilibrium based PSA (EPSA) or a kinetic based PSA (KPSA) for the first stage, with a VPSA unit packed with the Ar/O-2 selective zeolite AgLiLSX for the second stage, aiming to produce 99.5+% oxygen; the use of zeolite AgLiLSX allows removing argon besides nitrogen. The best two-stage VPSA configuration allowed obtaining a 99.8% oxygen stream at 6% of recovery and a 99.5+% oxygen stream at 14+% of recovery.