After leaving Huddersfield in the summer of 1974 he joined Bolton Wanderers as assistant to Jimmy Armfield and when Armfield took over the vacant manager's position at Leeds United he was promoted to the top job, taking over a squad that included Sam Allardyce and Peter Reid. In his time there he again won promotion to the top division and also reached the League Cup semi-final while the club were still in the second division. Unfortunately, Bolton's First Division performance was disappointing and Greaves was sacked on 28 January 1980.
An 18-month spell at Oxford United followed, before he took charge of First DivisionWolves in February 1982. However, the team were in the relegation zone at the time of his appointment and he was unable to prevent the drop, winning just five of his 20 games. Bankruptcy struck in the summer and saw a new regime eventually take control who opted to replace Greaves with Graham Hawkins.
Greaves' final managerial job was in the lower leagues at Mansfield Town where he spent six years, guiding the Stags to promotion in 1985–86, and winning the Freight Rover Trophy at Wembley in 1987. They were still secure in the Third Division when he departed on 6 February 1989.