Another variant on the one Susan and Monique posted' from my days as a Gifl Guide around the campfire, also complete with actions:

In a cottage in a wood,
Little old man at the window stood,
Saw a rabbit running by,
Knocking at his door.
"Help me! Help me! Help me!" he said,
All those guns will shoot me dead,
"Come, little rabbit, come to me,
Happy we shall be".

And another from my grandson's pre-school singarounds:
(To the tune of John Brown's body/Glory Hallelujah)
Little Peter Rabbit had a fly uppn his nose, (x3),
So he flipped it and he flopped it and the fly flew away.

And one from Children's Favourites on "the wireless" all those years ago, especially popular around Easter time, instead of Easter eggs,
The Chocolate Rabbit. (Will post words later).