Hi there, @RaniAustin.
It's nice to see you here in the Community. I'd be pleased to provide you the steps on how to see more companies in QuickBooks Desktop.
QuickBooks Desktop has the ability to display up to 20 companies on your list. In order to make it possible, please follow these steps:
The article given by john-pero above would be a great reference as well.
Here's a helpful article that you can check out regarding the different file extensions in QuickBooks Desktop for your future reference: File extensions used in QuickBooks Desktop.
This should get you moving today.
Please know that i'm just a reply away should you need anything else about company file in QuickBooks. Have a nice day!