Hi @Anonymous ,
Could you please share a bit more about your scenario?
Do you mean that the normal calendar could not show up if you turn off the "Birthday" calendar within your Outlook setting?
Based on the needs that you mentioned, I have made a test on my side, and don't have the issue that you mentioned. The screenshot as below:

Based on the issue that you mentioned, I think this issue may be related to the result the Office365.CalendarGetTables().value formula returned is not updated in real time.
As an alternative solution, I think a Timer control could fix your issue. I have made a test on my side, please take a try with the following workaround:
Set the OnStart property of the App control to following:
ClearCollect(
CalendarCollection,
Office365.CalendarGetTables().value
)
Add a Timer control within your app, set the Duration property to following:
1000
Set the AutoStart property and Repeat property to following:
true
Set the OnTimerEnd property to following:
ClearCollect(
CalendarCollection,
Office365.CalendarGetTables().value
)
Set the Visible property to following:
false
Add a Dropdown control, set the Items property to following:
CalendarCollection
please take a try with above solution, then re-publish your app, check if the issue is solved.
Best regards,