Be careful about what you choose at what age though, as many of the suggestions below only really work with older babies/toddlers. But if your DD rejects it now don't worry as it will come into its own later, I promise!
At 4-6mo DS liked Baby Boo and others from that Amazing Baby range - simple pictures and mirrors.
6-12mo was more flap books and texture books like Dear Zoo, Maisy or That's Not My (although I loathe loathe loathe those myself!) plus rustly fabric books. He also liked very short simple stories with actions (Tickle Tickle by Helen Oxenbury which we got in the Book Start pack was fabulous). This was when we started a proper bedtime story routine.
12mo+ was when he really got into proper stories until 12mo+ - but even then most like Gruffalo were too long for him until 18mo+ - but he did love looking at story books with intricate illustrations (like the Ahlbergs' books) from before he actually wanted to listen to the full story so we would just turn the pages and point out animals or flowers or such like from maybe 8-9mo.
Some specifics that haven't been mentioned:
Meg & Mog were favourites from an early age (hence my MN name!) as they are so bright that little ones love looking at them, and then there are lots of fabulous sounds you can make when reading them like Pfffffft and Screeeech and Owwwww which babies love. But they then still work well for toddlers too.
My Mum by Anthony Browne and My Dad: DS loved these from around 9-10mo and still likes them now at 2.2 and I find them charming as they are all about how fab your parents are
A DK book called something like My First Words was fascinating for DS from 9mo when he got it - would probably have liked it sooner too. Lots of pictures grouped by category - so things in the home, or in the park, or food, or toys, or vehicles or animals. Great for developing his vocabulary (both speaking and word recognition) and for chatting about our day - e.g. showing pics of things we did in the park or food he ate - so also good for building his memory and recall. Things like the Argos catalogue are also surprisingly good books for prompting this sort of discussion activity too!
It's so much fun! I am expecting DC2 in Sept and can't wait to start exploring books from the beginning again!