Achilles Frydman (1905–1940) was a Polish chess player.
He lived in Łódź where he took 4th place (1930, 1931, 1934) and tied for 5-6th (1933) in the city championships. In 1935, he took 5th in Warsaw at the 3rd Polish Chess Championship, an event won by Savielly Tartakower. The same year, he took 7th in Łódź (Tartakower was the victor once more). He was himself the winner at Łódź in 1936 and a year later, he retired from the 4th Polish Championship, held in Jurata, due to illness.
During the latter stages of his life, he had a history of mental illness, which manifested itself in loud behaviour. He was even reported to have turned up in public, wearing little or no clothing. After a spell in an asylum, doctors warned him against playing any more chess.
In 1940, Frydman was arrested by the Nazis in Warsaw, and died in a concentration camp.