Chunky Flap Books like Open the Barn Door
are pretty impervious to little hands. DD has been lifting the flaps
(with me prepping them for her, she can't quite get them from all the
way closed) since about 6 months.
A lot of them are out of print, but the Baby Einstein Touch and Feel books are amazing for interaction. My LO loves the different textures. Ever since we got two of them DD always has to feel the pages of her books just in case, even if it isn't a touch and feel book.
We also have a book with cloth flaps, but I can't find it online right now.