Flavius Anicius Maximus (died 552) was a Roman senator and patrician during the Ostrogothic kingdom, who celebrated the last games in the Flavian Amphitheater.
Maximus was a descendant of Roman Emperor Petronius Maximus, and was a member of the noble gens Anicia. His father was Volusianus, consul in 503, and he had a brother called Marcianus and an uncle called Liberius. Maximus married a first time in 510, then obtained, even at a young age, the consulate in the West sine collega for the year 523: on that occasion he received King Theodoric's permission to celebrate the event with venationes in the Colosseum, the last games ever held there, but later the king complained about the waste of money these entailed.
Between 525 and 535 he was elevated to the rank of patricius; King Theodahad gave him an Ostrogothic princess as wife in 535, appointed him primicerius domesticorum and gave him the property of Marcianus, which later Justinian I had him split with Liberius.
In 537, during Siege of Rome in the Gothic War, Maximus was expelled from the city along with other senators at the behest of Belisarius, who was afraid that they would collaborate with the Gothic besiegers, only to return at the end of the siege in 538. On 17 December 546 however, King Totila was able to take the Urbs, and Maximus and other patricii hid in Old St. Peter's Basilica. Captured and sent to Campania, he was still there when, in 552, Narses conquered Rome: the senators were preparing to return to Rome, but the Goths who guarded them, enraged by the death of Totila, killed them all.