Both my parents and Grandmothers read to me, all the time.
Beatrix Potter, a great deal of Enid Blyton, Louisa May Alcott.Little Grey Rabbit, an abridged illustrated version of Alice in Wonderland which scared me, bible and history stories, and many other books.
I learnt to read quickly, and was frequently caught reading under the bedclothes by the light of my torch.
In my childhood you couldn't join the Library until you were eight, and there were few paperbacks for children, so old favourites, usually birthday and Christmas presents, were read and re-read.
Another important factor in children's reading is seeing their parents reading and enjoying doing so; one of my earliest memories is Listening with Mother then being put to bed for a nap while my mother took an hour sitting by the fire reading her library book.