I Need the Names of Some Famous Baby Books for 5 Month Baby

"Goodnight Moon", "The Runaway Bunny", "The Very Hungry Caterpillar"-look up Caldecott and Newberry winners.

I would read everything that is child appropriate. The more you read the more language they will pick up. Picture books, feel books (like the animal touch books), board books, longer books with bigger words (for language development), anything and everything for children and babies.

The "Brown Bear, Brown Bear" series ... there are a few they are terribly cute, rythmic and repetative. LOVE THEM!

You have gotten a lot of great suggestions but for a 5 month old, books that they can interact with and touch are great. My son liked books about animals (which he still does) and Pat the Bunny was his favorite.

Don't be limited to his age. My DD loves first readers and Dr. Seuss which are advanced for a 2 yr old.

We LOVE Boyton books and have a slew of them in board book form. Also look for books with rhythm, like Hand Hand Fingers Thumb and Chicka Chicka Boom Boom.

We also like How Much I Love You with the nutbrown hares and The Very Hungry Caterpillar.

My daughter's favorite book is Goodnight Moon. I started to read it to her when she was 4 or 5 months old. Before long, she was looking at each page. She is now 14 months and LOVES her books. Especially the Baby Touch and Feel Books and any books (as someone else suggested before) that have the word ball and a picture of a ball.
She also loves Five Little Monkies, Runaway Bunny, Pat the Bunny and Baby's First Book (a hard to find First Little Golden Book). Hope this helps. There are a lot of really great suggestions below (and I have even wrote some down to check out). You can't go wrong with any books for babies. Even if your baby doesn't show much interest one day, the next day he/she may love that same book.

good night moon, guess how much i love you, pat the bunny,....short board books with texture, bright colors, objects of interest

the best idea would be to go to your local library and pick out some board books for your kiddo to look at and go from there.

Goodnight Moon

Going to Bed Book (Sandra Boynton)

I know a Rhino (charles Fuge)

Is your Mama a Llama (Deborah Guarino)

Eight Silly Monkeys (Steve Haskamp)

Pat the Bunny

Counting Kisses (Karen Katz)

Are you my Mother (PD Eastman)

Brown Bear Brown Bear What do you see? (Bill Martin Jr.)

Snuggle Puppy (Sandra Boynton)

I love you through and through (my favorite!!)

Baby Faces (or any book where there are photos of kids faces)

At this age, read what you can stand. I choose books for both language development as well as clear simple pictures at this age. Their eyes are still learning to focus on objects on a page. Picture books, rhyming books... here are a few of my favorites (available in Board Book style, which is what you want):

"Jamberry" by Bruce Degan
"Goodnight Moon" by Margaret Wise Brown
"Little Fur Family" by Margaret Wise Brown
"A Tale of Tails" illustrated by Garth Williams (publisher: Golden Book)
"Cowboy Small" by Lois Lenski

ANYTHING by Helen Oxenbury, esp. the "Touch" "Hear" etc. Senses books, as well as "Tom and Pippo"- great illust. and simple text

Any board books by Lois Ehlert (I love this woman; her books support half of my curriculum!)

Marjorie Flack's "Angus" books (not board book, I read these to my son from early on. The language and stories are simple and these books, to me, are worth replacing and not expensive.)

Any books that 'catalogue' everyday objects for children; this means simple pictures to describe words. As in the word "coat" and the picture of a coat right there to point to. Your library will likely have a wide variety of board books. I'd suggest checking them out and finding out which ones YOU are okay with reading a jillion times before purchasing.

Also remember that for this age, up until a year or even older, books tend to go into their mouths or they want to grab them up and turn the pages/explore the object of the book itself. You might want to offer one to play with while you read another.

I love the books by Sandra Boynton and my kids love them too. A few titles are Moo, Ba, La, La, La; The Going to Bed Book; Oh My Oh My Oh Dinosaurs.

Browse for books YOU like. If you buy a book that is "supposed to be good," but it drives you nuts to read it, what your child is going to pick up on is "mommy doesn't like reading," not "mommy doesn't like THIS BOOK." So, get a book that you enjoy reading to your child.

I worked in a children's bookstore, and I was surpised at how many people got caught in the "age-appropropriate" trap; it's a rough guideline, not a hard-and-fast rule. My kids just liked to hear me read, and I would read them the poems of Robert Frost, or Samuel Taylor Coleridge, as well as picture books and board books. The point is, if your kid likes it, and the content is not objectionable, read it, or as they learn on their own, let them read it, even if they struggle a bit at first. (You might need to invest in a good children's dictionary as they get the ability to read, but is that a bad thing?)

There are several great wordless (or near wordless) picture books that you and baby can enjoy together (this will grow with your kids - my five-year old makes up ever more sophisticated dialog, and there are wordless books for older kids, too - my aunt uses them to teach her creative writing classes), or baby can "read" them all by himself:
Good Dog, Carl (there is a series of these)
Tall
Hug
Good Night, Gorilla
The Snowman

My dd loved the Bing Books by Ted Dewan.
We read those so many time they were falling to bits, but I have kept them on a shelf at home as a reminder of how we love our story-time. :-)

http://www.wormworks.com/bingbunny/featurepage/buybing.htm

Books about babies or books to read TO the baby? Sorry--confused! :)