Hello Jeff Neufer,
- Open Settings
- Tap General
- Tap iPhone Storage
Look at what is contributing the most to you storage. This list should sort automatically by which app is using the most storage. You can either delete the app (I know you said you didn't want this), or delete the data associated with the app. This could remove game progress and other stats if it is not a separate account. Some apps (Podcasts for example), will download podcasts to your iPhone. This can be toggled off, but if you have it toggled on you can easily save 1GB+ if you use the Podcasts app by removing old downloaded podcasts not needed anymore.
How to check the storage on your iPhone and iPad - Apple Support.