Whilst playing for Tottenham Hotspur Greaves took out a £1,000 bank loan to start a packing business with his brother-in-law. By the end of his playing career this company had an annual turnover of over £1 million. He had a number of different business interests, including a travel agency. Greaves entered the 1970 London to Mexico World Cup Rally. In his first ever rally, alongside co-driver, Tony Fall, Greaves drove a Ford Escort to a sixth-place finish out of the 96 entrants.