They seem to do the trick - though Bax's imagination was more inspired by Ireland and, later, Scotland.
I'm not sure if your list has to have a reference in the text or just be in the spirit.
If the latter I'd include (as music that has a very 'English' feel):
Bridge - There is a Willow Grows Aslant a Brook
Vaughan Williams - 5th Symphony 3rd Movement
Tippett - Concerto for Double String Orchestra (slow movement)
Holst - A Somerset Rhapsody (and for something much darker, Egdon Heath)
Arnold - Symphony 5 (slow movement)
Butterworth - A Shropshire Lad
Percy Grainger - A Lincolnshire Posey