So I'm pretty simple with my choices for weather app and have been using the Weather Channel's weather app (I'm happy as long as I can see what the temperature is outside...).
For alarm clocks though I got a bit fancier and use the Hale Dreamer Alarm Clock (it technically was designed to be used with a Hale Speaker but almost everything works without it). I chose it for it's sleek design and nixie tube look, SmartSilence (a feature that screens your calls/texts etc and at least for the first two sends messages to the caller saying your busy and asking if its an emergency), Nap Timer and Sleep Sounds. It just kind of had everything I might need in one app...
Here are some screenshots of setting an alarm and the nixie tubes.
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