I agree with IO, Propellorhead is great.
A Sunday Flyer by Maurice Brett is PPL stuff, mainly sixties and seventies.
Flight of the Gin Fizz by Henry Kisor is a terrific story of a deaf pilot flying across the States
Flight of Passage by Rinker Buck is two teenage lads crossing the States in the sixties and is a real favourite of mine.
No Visible Horizon by Joshua Cooper Ramo is about training for competition aerobatics.
Airymouse and Cloud Cuckooland by Harald Penrose are both sublime.
Down The Runway by Samuel Hawkins is set in the US just before (and partly during) WW2 but some of the flying descriptions are fantastic.
Border Pilot by Maurice Bourne is a great story of cropdusting and a life focussed almost entirely on flying.
Rabbit In The Air by David Garnett is a wonderful evocation of learning to fly in the UK between the wars.
Just some of my favourites, all PPL stuff.