Currently, turning off reminders in QuickBooks Online Payroll is unavailable, Tim, as they are designed to help ensure compliance with payroll tax regulations.
These reminders, such as the NYS-45 filing notice, are intended to help employers stay on top of mandatory tax filings and avoid penalties for missed deadlines.
Given their importance in assisting businesses with tax compliance, QuickBooks considers them a key feature that cannot be turned off.
To help you with your state and local taxes with QuickBooks, you can check this article: Set up payroll to pay and file your payroll taxes and forms.
If you need further assistance, please don't hesitate to leave a post.