Robberds took up squash in 1963. By 1970 he was the fifth ranked player in New South Wales and at that year's Australian Championships he beat
Cam Nancarrow, the Australian #2 seed. Along with his brother Greg, Lionel Robberds made the New South Wales men's team and he was a part of their legacy when between 1958 and 1973 members of that team won 78 consecutive matches at Australian carnivals. Nancarrow, Ken Hiscoe,
Ted Hamilton and others participated in that time in the four-men squad. The unbeaten run ended with a loss to Queensland in 1974. In 1973 Robberds was selected in the Australian national men's team which competed in and won the
World Men's Team Championship governed by the
World Squash Federation. The next men's world championships were held in England in
1976 and again Robberds was selected in the Australian team who competed and placed third overall. There was a broad family connection with the game of squash. Robberds' nephews
Brett Martin and
Rodney Martin were both world champions though their sister
Michelle Martin had the greatest success in the family and she credited Robberds with designing a training programme and providing psychological and tactical support which made the difference to her career. Martin was ranked sixth in the world before Robberds commenced to coach her and she began winning major titles immediately. She spent 44 months from March 1993 to October 1996 as the best women's squash player in the world before Australia's
Sarah Fitz-Gerald broke her dominance. Martin returned to the world #1 ranking in 1998 and 1999. ==Legal career==