Max Alvary (May 3, 1856 – November 7, 1898), originally Maximilian Achenbach, was a German operatic tenor.
Born in Düsseldorf, Germany, he was the son of the painter Andreas Achenbach, over whose initial objections he pursued his singing career. He studied in Frankfurt with Julius Stockhausen, and in Milan with Francesco Lamperti.
Gifted with a fine dramatic voice and a handsome stage presence, he speedily made a reputation in Germany in the leading roles in Wagnerian opera, and from 1885 onwards appeared also in America and England. He was at his best in 1892, when his performances as Tristan and Siegfried at Covent Garden aroused great enthusiasm.
In October 1894 he was seriously injured in a fall while rehearsing Siegfried at Mannheim and never fully recovered; he retired from the stage in 1897.
Alvary died in Großtabarz, Thüringen, Germany in 1898.