Glad to see you in the Community, jolyn-prospector.
Let me share some info about your request.
For now, we're unable to run a specific report for payroll by class. However, you can use the Profit and Loss by Class and customize it by the payroll accounts.
Here's how:
Go to Reports on the left panel.
Type Profit and Loss by Class in the search field.
Set the Report period and click the Customize button.
Select the Filter drop-down menu and choose the payroll account in the Distribution Account drop-down list.
Click Run report.
Here's a sample screenshot of what the report would look like:
If you want to make some changes on the Class listing for payroll, you can modify the accounting settings. The instructions are included in this article: Payroll accounting preferences.
To learn more about the different reports included in your subscription and how to customize them, feel free to read these guides: