Here's a dog-related one:

Penny's not actually a beggar. She's more of a fixed-starer. Or, as in the truly terrifying 'Blink' episode of Dr Who, a Weeping Angel. Take your eyes off her for an instant, as you butter your toast, and she's there, staring, staring, closer each time you glance up.
Note: Sheila's cartoons are copyright, but I have permission to use them.