Igor Chubin's wttr.in shows the weather in non-proportional ASCII-art form. It's beautiful, clean and completely legible, unlike almost every modern weather service on the web. On my terminal (Windows, Chrome) the rendering of Lucida Sans Typewriter seems not quite perfect: a pixel too wide here and there. I think it's because of the unicode directional arrows for the wind, perhaps in combination with me browsing on Windows.
Update: Reader SemTek points out that you can get "true" text weather with the shell command
finger [your city]@graph.no.