Bevan was featured on a British stamp in 1995, one of a series of five to commemorate the centenary of Rugby League. In September, 2005 he was also inducted into the Australian Rugby League Hall of Fame. He is the only player to have been so doubly honoured. A statue of him was erected in the middle of a roundabout close to Wilderspool Stadium, then moved to the club's new ground, the Halliwell Jones Stadium, in 2004, which also includes a mural showing Bevan's face made from primrose and blue bricks, the traditional Warrington colours. Bevan was also inducted into the Warrington Wolves Hall of Fame.