DD (7) is an able reader, but you wouldn't know it from the fuss she makes about reading to an adult, or reading silently to herself. At her age, I loved reading and I wish DD enjoyed it for her own sake.
I can't really predict which books she might like. I've introduced her to books I loved as a child and newer titles that her friends really enjoy. She liked some of these too, but didn't want to finish the majority, even if I read them to her. The Horrid Henry series was a favourite for a while, and an abridged version of Heidi turned out to be a big hit.
However, I wonder if we might have turned a corner, as after reading her a chapter of Stig of the Dump by Clive King, she pronounced it her favourite book and read much of the rest by herself (although she still wanted me to read a few parts, perhaps when she was more tired than usual).
She has since read to herself some more, albeit not consistently. I'd be interested in knowing other children's favourites.