I was a real bookworm when I was younger and reread many of my favs when I was at uni (there was a great children's library for those studying to be primary school teachers)
Anything by Enid Blyton - Faraway Tree, Secret 7, Famous 5, 5 Finder-outers, Naughiest Girl, St Clare's, Mallory Towers and the Adventure series.
The Chalet School series
The Borrowers
Katy did books
Heidi books
Family at One End Street
Nancy Drew
The Little Princess
The Secret Garden
I could go on and on but I'll stop there.
Since I grew up (some debate about that!) I've also loved
Roald Dahr
Harry Potter
Where's my mummy
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