The matches have been announced 24 hours prior to the scheduled release of next term's fixtures, with two games taking part in each the Championship, League One and League Two on the opening day which feature a number of the founder members as well as other pairings of historical significance.
One of those special games will see Accrington go to Rodney Parade to face Newport - the Football League's newest ground and newest member.
Football League chairman Greg Clarke said: "For 125 years, Football League clubs have delivered a compelling spectacle week after week. In the process, attracting a total audience of more than 2.2 billion people and building indelible relationships with their local communities.
"Our clubs and their supporters are the heartbeat of the domestic game, giving English league football a breadth and popularity that is unrivalled anywhere in the world.
"We look forward to celebrating 125 years of incredible matches, unforgettable moments and intense footballing rivalry."
The other five selected fixtures see Burnley host Bolton, Derby entertain Blackburn, Preston welcome Wolves, Notts County travel to Sheffield United and Rochdale meet Hartlepool.
Accrington managing director Rob Heys said: "It's great for Accrington Stanley to be involved in these celebrations.
"We'll start things off with our friendly against Everton and then this special commemorative fixture as well as a number of other events throughout the season."
- Sports & Recreation
- Accrington Stanley
- Football League