In the UK and the US there are reference works listing all books in print. These also contain a list of all publishing houses in the countries concerned. (These reference works are available at most major libraries).
Try this website: http://www.interdok.com/publishers/list.cfm
Here's a list of publishers in the UK ... check it out!
The most common children's book publishers is Peace Hill Press. You can see a list of the publishers at http://en.wikipedia.org/wiki/List_of_publishers_of_children%27s_books
There is a comprehensive list of publishers aas well as information on becoming a published Children's book author located at www.signaleader.com. There is also information on finding an illustrator.
You can find a list of American poetry publishers by searching online directories like Poets & Writers, using resources like the Association of American Publishers website, or accessing databases like Duotrope. These sources can provide comprehensive lists of publishers that specialize in publishing poetry.
On the internet, I suppose you could a list of them on wikipedia (although I wouldn't trust it completely), the best website I've seen for this is everywritersresource.com. It has a list of publishers and next to each one a link to their individual websites. However off the internet you could probably find out information at a book store- though anyone correct me here if I am wrong.
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Transaction Publishers was created in 1962.
There are several websites that give information about publishers of childrens books. One of these websites is childrensbooks.about.com.
The Christian Writer's Corner and Christian Book websites are a starting point to find a list of Christian publishers. Christian Book Publishing Information is another site that has publisher information.
Karger Publishers was created in 1890.
Macmillan Publishers was created in 1843.