The phrase "major honours" refers to significant achievements or rewards attained in a particular field or activity. It usually denotes prestigious accomplishments worthy of high recognition and respect. Full definition
Whether they are strong enough to keep this good run of form going and whether that can challenge for major honours on both domestic and European fronts later in the season. (arsenalfcblog.com)
Showing everyone that this club is here to contend & win major honours when may comes calling. (justarsenal.com)
There's only 3 major honours in a season and a youth cup in my eyes. (justarsenal.com)