| Chelsea FC v Everton FC 01/10/1960 | View match | |
| Liverpool FC v Everton FC 05/10/1960 | View match | |
| Everton FC v Preston North End FC 08/10/1960 | View match | |
| Everton FC v Accrington Stanley (1891) 12/10/1960 | View match | |
| Fulham FC v Everton FC 15/10/1960 | £5.50 | |
| Everton FC v Manchester City FC 24/10/1960 | £5.00 | |
| Nottingham Forest FC v Everton FC 29/10/1960 | View match | |
| Everton FC v Walsall FC 31/10/1960 | View match | |
| Everton FC v West Bromwich Albion FC 05/11/1960 | View match | |
| Cardiff City FC v Everton FC 12/11/1960 | View match | |
| Everton FC v Newcastle United FC 19/11/1960 | View match | |
| Everton FC v Bury FC 23/11/1960 | View match |