| West Bromwich Albion FC v Everton FC 07/05/1963 | View match | |
| Everton FC v Fulham FC 11/05/1963 | View match | |
| Wellington Town v Everton FC 12/08/1963 | View match | |
| Everton FC v Manchester United FC 17/08/1963 | View match | |
| Everton FC v Fulham FC 24/08/1963 | View match | |
| Manchester United FC v Everton FC 31/08/1963 | View match | |
| Bolton Wanderers FC v Everton FC 04/09/1963 | View match | |
| Everton FC v Burnley FC 07/09/1963 | View match | |
| Everton FC v Bolton Wanderers FC 11/09/1963 | View match | |
| Ipswich Town FC v Everton FC 14/09/1963 | View match | |
| Everton FC v Internazionale/Inter Milan 18/09/1963 | View match | |
| Everton FC v Sheffield Wednesday FC 21/09/1963 | View match |