Summer Olympics ), London ( 1908 ,  1948 Summer Olympics  and  2012 Summer Olympics ) ,  St. Moritz  ( 1928  and  1948 Winter Olympics ),  Lake Placid ( 1932  and  1980 Winter Olympics ),  Los Angeles  ( 1932  and  1984 Summer Olympics ), and  Innsbruck  ( 1964  and  1976 Winter Olympics ).