How to skip iOS 9.3 update?
Option 1: Delete the update from your iOS device.
- Go to Settings from your Home screen
- Select Storage and iCloud Usage
- Go to "Manage Storage"
- Find the iOS update that is bothering you and select it
- Tap on "Delete Update" and confirm
However, you'll have to stay off of Wi-fi, otherwise it'll re-download.
Option 2: Block Software Update domains on your router / gateway
You'll have to figure this one out on your own, since all routers are different, but the domains you'll want to block are:
appldnld.apple.com
mesu.apple.com
Option 3: Just update
You can also give in and submit to the installation. This will bring you up to the latest, most reliable and up-to-date version of iOS, but if you don't want to, that's definitely fine.