The Weather Channel’s internet site has a musical Final Four featuring favorite weather songs click here. I’ll agree with 3 of the four choices here even though I like Louie and Iz’s versions of Over the Rainbow better than Judy Garland’s.
But I do have to question how one of my least favorite songs of all time, weather-related or otherwise, made it. That would be White Christmas which just may be the worst song ever recorded. It makes all those Ray Stevens’ songs sound great by comparison. (Wonder if Ray could have gotten away with recording Ahab the Arab today?) 
Like the NCAA’s Final Four however, there is always one team that lucks out and makes it when they maybe shouldn’t have. Here’s a Sting weather-related song he wrote about his daughter being all four seasons in one day. My Granddaughter Lily has these unpredictable weather traits in her too. 