QB Issue Resolution:

Perhaps you are confused that the Recently Opened list can only show 20?

It is just trying to be helpful. If you use “jump lists” for Word and Excel, you know that they also cannot show Everything; only Recent.

The No Company Open screen has the button to Open any data file that you can navigate to.

To make things easier, you can set up Data file Shortcuts on the Desktop, and not launch the QB program at all. Go into each file using the shortcut to the .qbw. This is Exactly like double-clicking a .docs or .xlsx file = Windows has a “default” program associated with that filetype and launches the default program. Let it open QB for you.

Resolution for Issue 'need more than 20 companies' available: Yes (Solved).
Source: Intuit Community forum.

need more than 20 companies: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

Support for 20 companies
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Error Recovery for 20 companies [Canada]
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