Here are some Chapter Books in the 2/3 grade level. I understand the allure of a series for gaining confidence, but there are also so many picture books in this reading level as well.

end of first grade beginning of second chapter books:

The littles (first series)
Mercy Watson series
Commander Toad series

mid second grade level chapter books:

Oliver and Amanda Pig series
Billy and Blaze series
Wishbone: The Early Years series
Cam Jansen series

end of second grade level chapter books:

Rainbow Magic series
Magic Treehouse series
Matt Christopher books

end of second grade-mid third grade chapter books:

Catwings series
Flat Stanley series
A-Z Mysteries
Beverly Clearly books
The Boxcar Children series