View all the state titles and state final appearances made by the South River Rams. Since 1919, South River has made three state final appearances, and has won one state crown in boys basketball. After appearing in the state final in 1991, the Rams have not appeared in a state championship game.
South River Rams–State Titles
| Year | Classification |
| 1980 | Group II |
South River Rams (1-2)–State Finals Appearances
| Year | Classification | Opponent | Result |
| 1939 | Group III | Lodi | Lost |
| 1980 | Group II | Governor Livingston | Won |
| 1991 | Group I | North 13th Street Tech | Lost |