Because Caitlin asked, I will tell her (and you).
Anime weather is a term Andreas and I use frequently to describe that special kind of weather that reminds us of Japanese (what else) anime TV shows. Now I have only watched one anime series complete, but you don't need to be an expert in animes to recognize anime weather.
There has to be wind, that's for sure and it's best when there's something (beside your hair) the wind can move in lovely patterns.
Something else is either: preferably pink petals, snowflakes or autumn-colored red and yellow leaves.
The most important thing is that the wind is so soft and yet strong enough to make whatever is falling down fly slowly through the air in circles and loops instead of just plain falling down to earth.
So, in that particular case a few days ago, the snow was merely falling down. It was dancing in front of my window. Rising up and down over and over again before finally and after a long journey settling down on the ground. It's one of the most beautiful and peaceful things, anime weather.