As at July 2017, Thames had won events at Henley Royal Regatta 78 times. The most recent wins were the Thames Challenge Cup for men's club eights in both 2017 and 2015, the Visitors' Challenge Cup for intermediate men's coxless fours in 2016, the Wyfold Challenge Cup for men's club coxless fours in 2006 and 2003, and the Remenham Challenge Cup for women's open eights in 2005. The club also had a member in each of the composite crews which won the Remenham Challenge Cup in 2008 and 2009.