I like Today Weather a lot. Pretty widgets and reasonably customizable

Geometric Weather from FDroid is my absolute favourite. Clean, no adds. It even has a live wallpaper that shows current weather which I love.

AccuWeather for the "hyper local" weather.

If you want to be mildly terrified, do a search on which weather apps do NOT collect and sell your data. Hint: you won't find many.
They are notorious for gathering background data, including your location, obviously.

Unfortunately, most of the weather apps that claim to not sell your data are subscription based and fairly expensive.

I used to be a weather app nerd, but I'm also a privacy advocate, so these days I just use a bookmarked weather website.

I like Yr a lot. Simple and (mostly) accurate, even outside Norway.

windy has the best radar and I'll just use my browser to go to weather.com for forecasts.

NOAA Weather. No frills, just the straight data that everyone else uses in straight forward graphs and visualizations.

Myradar. Someone recommended it to me on r/ and it's been really good.

I just do a Google search when I need weather info, never felt the need for an app

I just started using weawow. So far it's pretty good.

I always like wunderground for its accuracy and there use to be an app for it, but HP cut off the API. Now I use Prognoza on f-droid, seems OK.

I use Weawow, I like their widget and how customizable it is.

Meteogram with a lifetime platinum membership

QuickWeather most of the time and wX if i need more detail or to access SPC products.

Radar Scope so I can see where the rain is headed.

I also have like seven other weather apps that never agree with each other exactly, so I just see what the consensus is amongst them all and guess.

Yr Weather https://play.google.com/store/apps/details?id=no.nrk.yr

Seems to be the most representative of my specific location.

Shadow Weather (https://play.google.com/store/apps/details?id=com.noaimgames.shadowweather) has a great presentation of detailed weather data, multiple weather services to choose from, current and future radar, and good developer support.

I tend to use the Google built-in one (which is getting a revamp soon), but I also subscribe to Weather Channel. This is nice because if you subscribe on the web it gets rid of ads on all platforms - Android, iOS, and web. Sometimes there are issues where you have to log out and back in again, but it works.

Flowx

Meteoblue

The built in iOS app.