I also had this problem.
I solved this problem using the following steps:
Turn on airplane mode.
Note: to backup your lists. (optional at your discretion) Backing up your iPhone will not help since the Reminders are gone.
Open a browser
Login iCloud
Click Reminders
Print each list as a backup Note: If the list is bigger than the screen, be sure to scroll down and print a second page.
After BACKUP:
On iPhone, go to Settings > select Apple ID, iCloud, iTunes & App Store
Select iCloud
Reminders > Toggle off Reminders
Delete all Reminders on iPhone > Yes
Now Reminders Toggle on
Close Settings
Open Reminder app
Your reminders should immediately be visible.
I hope this helps you also.
Respectfully, Candlia