I flashed the Mightyrom on my Verizon TP2, and I've been playing with the home screen to see all the animation. Here are some current world cities for you to see all the animations:
Los Angeles = Sunny
Nuuk, Greenland = Snow
Avellaneda, Argentina = Cloudy
Washington DC = Showers
I couldn't find a thunderstorm, but tomorrow, Avellaneda, Argentina will have lighting.
If you don't hit update now, you can always watch the animations on the home screen.
Also, if you remember, on the weather tab, tapping on the top left corner then top right corner cycles all the animations.
EDIT: Here are some animations I made. They're rough, much smoother and more fluid on the phone. Let it play through, then it'll play smoothly.