As of 2018, Oriel holds 33 Torpids men's headships, the most of any college. It also holds 32 Summer Eights Headships, second to Christ Church, at 33; from 1968 to 2018, Oriel won 25 headships. In 2006, Oriel claimed the first ever double headship in Torpids, rowing over as Head of the River in both the men's and women's first divisions. In 2018, the college repeated this victory with their second double headship. It remains the only college to have achieved a double headship in Torpids.