It goes up and down the stairs without moving.
a railing (or bannister)

What can you catch but not throw?
a cold
What kind of room has no windows or doors?
a mushroom

What has hands, but is not a living thing?
a clock

I have black circles around my eyes even when I'm not tired.
What am I?
a panda (or raccoon)

What kind of cup doesn't hold water?
a cupcake

The more there is the less you see.
darkness or fog

The alphabet goes from A to Z, but I go frm Z to A.
What am I?
a zebra

I have ears, but cannot hear.
What am I?
corn
You hear me once. You hear me again. Then I disappear until I am called again.
an echo

What has a mouth but cannot chew?
a river

What has no middle, beginning, or end?
a donut

I'm long and thin with red within.
What am I?
a finger

I have a mane, but I'm not a lion. I wear my shoes when I sleep.
What am I?
a horse
You have to break me before you can eat me.
What am I?
an egg