"touch to return to call" banner is stuck, forces a restart

Try an iPhone reset, which is done by pressing and holding the home button and the sleep/wake or on/off button simultaneously until you see the Apple logo and then release - ignoring the slide to turn off prompt when doing so. A reset does not affect any data or settings and may resolve this problem.

My iPhone does not freeze when doing so.

If an iPhone reset does not resolve this, the next step is restoring your iPhone from your iPhone's backup. If there is a problem with your iPhone's backup, restoring from the backup will also restore the problem. If no change after restoring from your iPhone's backup, try restoring as a new iPhone or not from your iPhone's backup.

I'm not sure either, but I haven't experienced the same. I'm fairly confident this has nothing to do with the type of phone a missed call is from. Nothing is saved different with a missed call based on the type of cell phone the call was placed with.

I agree that you should not have to do a reset.

Copied from my previous post.

If an iPhone reset does not resolve this, the next step is restoring your iPhone from your iPhone's backup. If there is a problem with your iPhone's backup, restoring from the backup will also restore the problem. If no change after restoring from your iPhone's backup, try restoring as a new iPhone or not from your iPhone's backup.

If no change after either restore method, you can call AppleCare at (800) 694-7466, or make an appointment at an Apple store if there is one nearby.