@Kelly_Harr the list web part can only display lists from the current SharePoint site. It can't display a list from a different site or from Teams. So in my example below the dropdown shows all the lists on my current SharePoint site but none of the other lists on other sites to which I have access or am an owner.
You would need to consider using Power Apps where you can create a gallery from any data source and display it on a SharePoint page in the Power Apps web part.
Rob Los Gallardos Intranet, SharePoint and Power Platform Manager (and classic 1967 Morris Traveller driver)