If the BindTuning Web Part with the List picker shows an error message like the screenshot below that means there is corrupted lists in your SharePoint site due to the fact that you have features deactivated but you still have the list in your site.
There are two possible actions to fix this issue:
- Activate the missing BindTuning Web Part
- Remove the corrupted list
If you intend to remove the list from the site, you need to check every list on the site or subsite until you find the corrupted ones. You can check that by opening them in the browser and the corrupted lists will show you an Error.