Problem since last update

Try and Force Restart your iPhone EXACTLY as shown below and see whether that resolves the issue:

• Press and quickly release Volume UP button
• Press and quickly release Volume DOWN button
• Press and Hold the SIDE button until an Apple logo appears and then release the Side button (Can take up to 20 seconds. (DO NOT release Side Button when invited to Slide Power OFF). 

After you have successfully Force Restarted the iPhone, you may see the “some account services requre you to sign in again” screen. If you do then select continue and sign in.

Axel F.

Axel F.

HercMec Said:

"Problem since last update: Anyone else getting prompted to sign in again since the last update 'update Apple ID settings' 'some accounts services require you to sign in again' but signing in just brings the prompt back again?!"

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Thank you for the screenshot.

No. I am not having this issue.

Troubleshooting Passwords Issues After an Update:

A. New App Password:

Note that you would need a new App Password, being that Mail app is a third-party app. You cannot log in using your eMail address password. As an example, go here for gmail: Sign in Using App Passwords - Gmail Help - Google Support

B. Report this as a Bug to Apple:

Do your Part: Provide Apple with feedback on this, letting them know about this issue.  Apple may not get back to you directly, but the more feedback they receive on this, the more they will know what is occurring, and what bug fixes to include in updates to come.

1. Go Here: Feedback - iPhone - Apple
2. Select: "Bug Report" for the "Feedback Type"
3. Comment: that this all began after installing an update. Include the URL of this post
4. Proceed from there as necessary