The first classics to try of you are looking for a chapter book are the fairy books by Andrew Lang.
Their are quite a few of them. The Red fairy Book. The Blue Fairy book. The yellow Fairy book. Etc. these books are all the traditional fairy stories we all heard as kids from Cinderella to Rose Red in their original style. Beautiful books and one of my daughters favourites. They are all available free to download from guttenburg. These are ages 2 and up or a 1 year old who is a good listener perhaps
they do contain some graphic bits and lots of morals. Remember in the original fairy tales the good guys often eat the big bad wolf and such. A preread might be worth it for more sensitive kids. I think some of the books have more basic stories in them, sort of like levelled stories but I can confirm just now.
Also We REALLY loved the Magic Faraway Tree series. Get the large hard cover books which has full colour pictures on almost every page. Each chapter is a story in its own so its great for the youngest crowd. These are for age 0 to 11 and I don't remember any religious comments.