The Melendy Quartet series (starts with The Saturdays)
Nick and Tesla's High Voltage Danger Lab
Tuesdays at the Castle
Nim's Island
Franny K Stein series (starts with Lunch Walks Among Us)
The Time Warp Trio series (starts with Knights of the Kitchen Table)
Boxcar Children series
The Incredible Adventures of Professor Branestawm
Peter Pan
Inkheart
Mrs Frisby and the Rats of NIMH
DD7 *loves* mysteries, but these are some suggestions of the books she's enjoyed that aren't
(oops, some of these already suggested I see - I'm seconding them in that case!)
btw, She read Series of Unfortunate Events around the same time as Narnia and Harry Potter, so mightn't be too hard?