Here's a rather old fashioned animation of a woman (could be 1950's retro) with her skirt blowing and umbrella blowing in the wind during a rain storm.
Here's another dark storm cloud, this one seems to have almost all the weather happening at once, lightening, snow and rain!
A thermometer to check the temperature outside. It looks like it's a fairly warm day with the mercury hovering at around 23 degrees Celsius.
This little picture shows a boat at sea being tossed on large waves, surrounded by thunder clouds during an electric storm.
Here's a cute cartoon of a person wearing a yellow raincoat (or slicker depending where you live), rain boots (or galoshes) and holding a large blue umbrella
This animated lightening gif looks great on a dark background but not so much on a light one (like here), so you'll have to use your imagination a bit to see the proper effect.