| Everton FC v Leeds United FC 23/04/1960 | View match | |
| Manchester United FC v Everton FC 30/04/1960 | View match | |
| Tottenham Hotspur FC v Everton FC 20/08/1960 | View match | |
| Everton FC v Manchester United FC 24/08/1960 | View match | |
| Everton FC v Leicester City FC 27/08/1960 | View match | |
| Manchester United FC v Everton FC 31/08/1960 | View match | |
| Aston Villa FC v Everton FC 03/09/1960 | View match | |
| Blackpool FC v Everton FC 05/09/1960 | View match | |
| Everton FC v Wolverhampton Wanderers FC 10/09/1960 | £9.50 | |
| Everton FC v Blackpool FC 14/09/1960 | View match | |
| Bolton Wanderers FC v Everton FC 17/09/1960 | View match | |
| Everton FC v West Ham United FC 24/09/1960 | View match |