Favorite Children's Book

My favorites:

The Velveteen Rabbit
Make Way for Ducklings
The Giving Tree
I Love you Forever
Monster at the End of This Book
Marvin K Mooney will you please Go Now
Rainbow Rob
Mike Mulligan & his Steam Shovel
Not Norman
Alexander and the terrible, horrible, no good, very bad day
Cloudy with a Chance of Meatballs
The Gingerbread Boy

When my boys were young, some of their favorites were the Mercer Mayer series. Me and My Mom, Me and My Dad, Just go to Bed, etc. There is a whole series and they deal with a little critter who has experiences like real kids. Humorous and sweet, and not too long, for those with shorter attention spans, :-)

Are You My Mother" PD Eastman
Knuffle Bunny
The Gruffalo
Mike Mulligan and His Steam Shovel
One Fish Two Fish - Dr. Seuss
(absolutely cannot stand the Berenstein Bears - is there a preachier series out there?)

One of our old stand by's (that is always a big hit) is the Sesame Street book "The Monster at the end of this Book"

....'The Monster at the end of this book is ME! Lovable, furry old Grover....And You were so scared!....Oh, I am SO embaressed!'

Here are a few of our favorites

Tikki Tikki Tembo (retold by Arlene Mosel)

The Giving Tree (by Shel Silverstein)

I Love You Forever (by Robert Munch)

Chicka Chika Boom Boom ( by Bill Martin & John Archumbault (sp?))

Llama Llama Mad at Mama (By Anna Dewdney)

There are so many!
Tikki Tikki Tembo is good as Dawi mentions, as are several of the Mo Willems book (we just borrowed the following from the library: Knuffle Bunny; Naked Mole Rat).
The Delores series by Barbara Samuels is excellent (Delores & Faye; Delores on her Toes; Delores & Duncan).
The dinosaur books (How do dinosaurs say goodnight?, for e.g.) by Jane Yolen and Mark Teague are very nice.
Curious George and The Berenstain Bears (there is a large series for each) are dated, but my kids (2.5, 5) really enjoy them.
Harold and the Purple Crayon (Crockett Johnson) - there is a series but this is by far the best.
On a recent visit to the NE Aquarium, my husband picked up the Pout Pout Fish (Deborah Diesen and Dan Hanna), which has a lovely rhythm - it looks like there are others in this series, but we've only read the one.
Madeline (Ludwig Bemelmans)
The Jungle Book (Rudyard Kipling)
Charlie & Lola books (Lauren Child)
Fancy Nancy books (Jane O'connor & Robin Preiss Glasser)

the Madeline series
The Tub People
anything by Tomie de Paola
all the Miss Spider books
Courderoy

I know you already have a ton of great suggestions but I wanted to post one more that we just love. My 4 year old and 21 month old both love the Little Pea, Little Hoot, and Little Oink books. The 3 books come in a box and are thick board books that are fun to read and are enjoyed by the kids and adults. We got a set for our friends as well because we love them so much. They are by Amy Krouse Rosenthal and are $13.59 on amazon.com for all 3. Here's the link:
http://www.amazon.com/Little-Books-Boxed-Featuring-Hoot/d...

Here our some of our household favorites:
any Dr. Suess book
Where the Wild things are
The Polar Express
Mike Mulligan and his Steam Shovel
Curious George
Berenstain Bears

SO glad to see Tikki Tikki Tembo on here! It's one of my faves from childhood and Santa brought it to our 4 year old this year. We've really been enjoying it. Here are some of our other favorites. I have a 2 and 4 year old boys:

The Mitten

The Gingerbread Baby

Dr. Seuss -particularly Green Eggs and Ham, One Fish Two Fish... and Horton Hatches the Egg

Sandra Boynton books -But Not the Hippopotamus, Birthday Monsters, Barnyard Dance, Snuggle Puppy, etc.

The Polar Express

Shel Silverstein's "A Giraffe and a Half" and his poetry books "Where the Sidewalk Ends" and "A Light in the Attic"

We love traditional fairy tales -Puss in Boots, Three Little Pigs, Rapunzel, Jack and the Beanstalk, Emperor's New Clothes, Hansel and Gretel, etc.

Is Your Mama a Llama?

Pirate books -The Pirate Cruncher, How I Became a Pirate

A Bad Case of Stripes

We also love Little Golden Books and I really love reading them ones from my childhood like "The Little Red Caboose" and "The Pokey Little Puppy" and "Saggy Baggy Elephant"

Some of my son's (3 years old) favorites:

Chicka Chicka Boom Boom
Llama Llama book (there are 4) by Anna Dewdney
Oliva books by Ian Falconer
Always in Trouble
Not Norman
Goodnight Gorilla
Blueberries for Sal

and my favorite from when I was young:
Clotilda by Jack Kent

A few books that my son just couldn't get enough of when he was little(r). (He's now 8, & reading his own books!)

Rain by Manya Stojic (Beautiful!)

Bear Snores On by Karma Wilson and Jane Chapman (I think most kids already own it!)

Whose Mouse Are You? by Robert Kraus and Jose Aruego (Cute! Good message!)

These books were read so many times, they are almost worn out! Good for you for seeking out new books to read!

My boys loved Rolie Polie Olie, Kittens First Full Moon, and Blueberries for Sal.

How old is your daughter? There are so many good books out there. Our 3 year old likes ...

Baby Cakes by Karma Wilson and Sam Williams
I Love You Through and Through by Bernadette Rossetti Shustak & Caroline Jay Church
What Makes a Rainbow? by Betty Schwartz

I mean I have more and more but those are just a few that I can think of off the top of my head.

For little ones (age 2) books by Sandra Boyton.

For preschool on up....
Little Bear
The Gingerbread Boy
Books by Eric Carle - "Brown Bear, Brown Bear", "The Hungry Caterpillar"
Are You My Mother by P.D. Eastman
Chicka Chicka Boom Boom
Madeline

There are lots out there. I suggest a trip to the library.

Here are some of our favorites:
Guess How Much I Love You
Love you forever
I love you you as much
Anything by Eric Carle
Chicka Chicka Boom Boom
Goodnight Gorilla
any of the If you give a.... series
The Giving Tree

There are so many good books to choose from. You may just want to visit a bookstore and see what appeals to you and your daughter. Have fun!

Chicka Chicka Boom Boom has been a favorite of both of my kids. They also like Mortimer by Robert Munsch and Thomas' Snowsuit by Robert Munsch. (He's a favorite author.)

My kids and I love the Elephant and Piggie series by Mo Willems.
Frog and Toad is great too.

The Little House by Virginia Lee Burton

Caps For Sale by Esphyr Slobodkina

Too Many Toys by David Shannon

Pinkalicious by Victoria Kahn

Jamberry by Bruce Degen

The Paper Bag Princess by Robert Munsch

Harry the Dirty Dog by Gene Zion

If You Give a Mouse a Cookie by Laura Joffe Numeroff

so many great ones here, i could go on forever.... how old is your daughter? wanted to add - anything by eric carle or leo lionni or cynthia rylant, the van allsburg books are beautiful, though depends how old she is, owl moon is great for the winter and for a quiet, mellow, before bed book. funny and a lot of fun to read out loud are the knuffle bunny books and the skippyjon jones books.

You don't mention how old your daughter is, but I love anything of Margaret Wise Brown's. She was a amazing writer for very small children. See if you can find more of her books in the library, and be sure to read them out loud!

Our favorites are any Dr Seuss books, Goodnight Moon, Where the Wild Ting Are and any of the Bernein Bear books.

Too many to list, but my DD is 3 and she loves anything Dr. Suess and anything by Todd Parr.

I love books by Peggy Rathman...

Officer Buckle and Gloria
The Day The Babies crawled away (not nothing scary, in fact very cute)
Ten Minutes Til Bedtime

Also,
Goodnight Little Bear
Buenos Noches Gorilla
Runaway Bunny
Love You Forever