squaredesign

WX Weather displays data from a Personal Weather Station, retrieved from the website <a href="www.wunderground.com" rel="nofollow ugc">Weather Underground</a>.
to use this for your own Weather Station, you need to submit your data to Weather Underground, and you know your Weather Station code. to find out more about how to do this, visit <a href="http://www.wunderground.com/weatherstation/about.asp" rel="nofollow ugc">Weather Underground’s Personal Weather Station Page</a>.
data is cached locally in your WordPress install, so it only makes one request to Weather Underground every five minutes.

WX Weather Widget

WX Weather is a WordPress widget designed to display data from a Personal Weather Station (PWS) in your blog sidebar.

maennchen1.de

This plugin easily displays a weather widget with a destination of your choice. No PHP or Shortcode, just a widget. 
It caches the requests to the weather database in given intervals. 
You will need a free account at https://home.openweathermap.org/users/sign_up .
Font-Icons by Erik Flowers: https://erikflowers.github.io/weather-icons/

m1.MiniWeather

love the design

This plugin easily displays a weather widget (icon + temperature) with a destination of your choice.

WX Weather Widget vs m1.MiniWeather