Elephants are the largest animal that can also manage to be completely adorable. I once spent a very diverting 20 minutes watching a baby elephant play catch with its mother using a red ball the size of a washing machine.
Elephants are also deceptively intelligent animals despite their otherwise slow-moving, vaguely dopey appearance. They remind me of certain humans I know, come to think of it.
In any event, Camille Saint-Saëns wrote a whole suite of pieces about different animals. I have very happy memories of listening to this one as a little kid and giggling at the thought of watching elephants gracefully dancing to this melody.