I wouldn't read Bridge to Terabithia to a child that young. ETA: I wouldn't read Number the Stars to a child that young either, especially if the parent doesn't even want Harry Potter, which is obviously fantasy. Those books are realistic fiction and could be very scary. I think the only Lois Lowry book I know of that I would read to a child that age is Gooney Bird Greene, the rest I can think of off the top of my head are too mature.
As a teacher for that age, here are the books my class always loved (boys and girls):
Ramona
Junie B. Jones
Judy Moody
Magic Tree House
Stories Julian Tells
Stories Huey Tells
Gooney Bird Greene (HILARIOUS!!!)
Pippi Longstocking
Peter Pan (there is an easier version and a harder version, I read the harder but they had their stamina built up through the year of reading aloud. My friend's class needed the easier version because she didn't read aloud much.)
The Secret Garden (I made them try the first 5 chapters, 1 week, and by the end of the week they loved it and wanted to keep going, good lesson on giving books a fair chance.)
Time Warp Trio (similar to Magic Tree House)
A to Z Mysteries
Flat Stanley
Some books by Roald Dahl (The BFG)
Magic School Bus (chapter books and picture books)
Most of these are series, but I only read one from each series to get them hooked. Also, if you talk about the books as well, there really are so many layers to picture books and they can be very challenging.