Not sure if this counts, because it certainly wasn't cold. It was hot that day. Like 80s hot*.
But having a snowball fight in the middle of summer is another of my favorite memories. Not around here, were in Yellowstone and of course multiple thousands of feet up. It of course wasn't fresh snow, but months old patchy icy slush, but still, it was the first time I had a snowball fight in shorts.
*It was significantly cooler where these patches of snow were still around, but you didn't have to travel too far down to be back in the heat.