You beat me to my favorites! The Jabbeerwock and Sarah Sylvia Cynthia Stout!
I also like from Shel Silverstein: Forgotten Language and The Silver Fish.
The Complete Nonsense of Edward Lear is fun too. It's got some great poems in it. The book I have is from when I was a kid, but you might be able to get it frim the library or a used bookstore. My favorite poem out of that book is The Duck and The Kangaroo.
Said the Duck to the Kangroo,
"Good gracious, how you hop!
Over the fields and the water too,
As if you would never stop!
And I long to go out in the world beyond!
I wish I could hop like you"
Said the Duck to the Kangaroo
"Please give me a ride on your back!"
Said the Duck to the Kangaroo.
I would sit quite still, and say nothing but 'Quack',
The whole of the long day through!
And we'd go to the Dee, and Jelly Bo Lee,
Over the land and over the sea;--
Please take me a ride! O do!"
Said the Duck to the Kangaroo
Said th Kanagroo to the Duck,
"This requires some little reflection;
Perhaps on the whole it might bring me luck,
Which is, if you'll let me speak so bold,
Your feet are unpleasantly wet and cold,
And would probably give me the roo-
Matiz!" said the Kangaroo.
Said the Duck, "As I sate on the rocks,
I have thought that over completely,
And I have bought four pairs of worsted socks
Which fit my web-feet neatly.
And to keep out the cold I've bought a cloak,
And every day a cigar I'll smoke,
All to follow my own dear true
Love of a Kangaroo!"
Said the Kangaroo, " I'm ready!
All in the monlight pale;
But to balance mewell, dear Duck, sit steady1
And quite at the end of my tail!"
So away they went wiith a hop and a bound,
And they hopped the whole world three times round;
And who so happy,--O who,
As the Duck and the Kangaroo?
This is out of the Edward Lear bookI mentioned aboce. It hasn't an auther, instead, the cover says "Collected and Introduced by Holbrook Jackson" It's got some great stuff in it, but I don't know if it's still in print, as it was first published in 1957. My copy is a hand me down from my brother who got it from a family friend.
Anyway, good luck in finding more childrens poetry.