GHS's mascot is the Grant General, in honor of its namesake General and 18th US President,
Ulysses S. Grant.
State championships • Men's football: 1943, 1945, 1946, 1949, 1950, 1963 (tie with North Salem) • Men's gymnastics: 1982 • Men's baseball: 1951, 1958 • Men's basketball: 1969, 1986, 1988, 2008, 2018 • Men's golf: 1945, 1946, 1947, 1949 • Men's soccer team: 2008 • Men's tennis: 1949, 2005 • Men's swimming: 2010 • Men's cross country: 1957, 1958, 1963, 1964 • Women’s soccer: 2021, 2023 • Women's swimming: 1949 • Women's tennis: 1949 • Men's track and field: 1930, 1931, 1939, 1961, 1965, 1966, 1968, 1970, 1988 • Women's cross country: 1974, 2012 • Jazz band: 2022, 2024, 2025 ==Notable alumni==