Try his poetry. This will probably come as a shocker, because he used rhythm
And his poetry is easy to remember for those, among other reasons.
Sometimes his opinions are phrased rather too consciously and come rather too pat, but his poetry is fun, even at times very thoughtful. I often use his light verse in my poetry readings - it goes with a swing and reads aloud very easily. And the Father Brown mysteries are kind of neat.
So, having stumbled across Chesterton, have you caught his contemporary, Hilaire Belloc?