My old cat used to sit so close to the fireplace that she would start smouldering. She didn't do this once. It was repeated behaviour. There would be smoke coming from her tail and she would be sniffing the air wondering what the smell was.
Needless to say when the fire was on she was only allowed in the room under supervision!
One of my current cats loves to be swept. If I get the broom out she will lay in front of it waiting to be swept around the room. She never tires of this!