The stories in this list are adventures set in a world of magic. There is a separate list for books like are like Harry Potter - books with magic as well as lots of laughs.
His Dark Materials series by Philip Pullman (Northern Lights, The Subtle Knife and The Amber Spyglass.)
The Dark is Rising series by Susan Cooper In order: Over sea, under stone, The Dark is rising, Greenwitch, The Grey King, Silver on the tree.
Narnia series by C.S. Lewis
The Wizard of Earthsea series by Ursula Le Guin
The Hobbit by JRR Tolkien. This leads into The Lord of the Rings, which is a massive book you can find in the adult library, but which quite a lot of children love too. The film of this is coming out at Christmas.
The Magician's House Quarter by William Corlett
Jenny Nimmo
The chronicles of Prydain by Lloyd Alexander.
Alan Garner
The Borderlands sequence by Ann Coburn
Catherine Fisher
Toby Forward's Wyvern series
Tamora Pierce
Robin Jarvis Various series, such as The Deptford Mice, the Whitby Series, and The Thorn Ogres of Hagwood