Owl Who Was Afraid of the Dark - yes there is a set of 6 Jill Tomlinson books available. I got it online for £10 but have recently seen it in The Works for £5.99 or £4.99 on sale.
Claude gets another vote from me.
Usborne Young Reading series one books are nice, stories of dolls/mermaids/fairies, Princess and The Pea etc.
Animals in School by Julia Donaldson
The Lighthouse Keeper books - can buy in Chapter book format.
The Early Reader books by Orion.
Secret Mermaid ones are good.
We have Tilly Tiptoes as well but girls haven't read them yet.
Dick King Smith - Lady Lollipop are fun according to DD1 but she has read lots of others too.
Magic Molly by Holly Webb
Zoe's Rescue Zoo
Rescue Princesses
Yes to Katie Morag early readers and Milly Molly Mandy
oh and My Naughty Little Puppy by Holly Webb.
DD1 is now in Yr2 and she has been happily reading lots of these for the last year, she is sensitive and easily spooked so I think they must all be ok.
DD2 is in Yr1, not quite 5.5 yet and reading very well but isn't so keen on bothering to read longer books. She has gone through the reading scheme and CAN read chapter books but she prefers shorter ones so we have a whole load of this level, Claude is her ultimate favourite at the moment. trying to think of others she has read. Mostly red banana ones or other banana ones like Mairi's Mermaid. She likes the Usborne Beginners ones as well which are all non fiction. officially book band 8 I believe but cover a whole range of topics from animals, space and ballet.
oh and the paddington books, not the simple picture ones for toddlers or the chapter books but the bigger picture story books, they are good and the pictures are lovely.