By default, the Time Tracker Records List will only include Projects where the Project Status is "Not Started" or "In Progress" and where there are tasks assigned to you.
If you would like the Time Tracker Records List to include Projects with a different status, you can define the Project Status to be included, in Custom Settings. This also means that if you've customized your Project Status picklist options, you are still able to define which Project Statuses are included in the Time Tracker Records List.
This help article will show you how to define the Project Statuses that Time Tracker should display by default.