I have the same problem. This started after updating to Zoom 5.15.3 yesterday.

Home button is missing, meetings button shows what used to be the home instead of showing meetings. No sign of upcoming meetings anywhere. (I don't have the 'anytime meetings' button mentioned by others here.

I tried updating again - message says 'you are up to date'. I tried rebooting laptop - no change. 

If anyone has any suggestions it would be very appreciated. Thanks.

Using a MacBook Pro laptop (OS Monterey). 

I update as suggested, now I see the umbrella  ans any-time meeting. Thanks !!!

But now I have a new problem : The list includes  ALL meetings I ever had  –  Where I need only upcoming meetings. Any Idea ?

How does one update the app if zoom does not prompt for an update.

The response to my support ticket, asking about this issue:
"I understand you want to see your upcoming meetings on the sidebar. Let me help you with your concern here.
 
We want to thank clients like you for your diligence in managing your account and for letting us know if there's something we can help with. This can also contribute to improving the service that we are providing and it is greatly appreciated.
 
Based on the new interface of Zoom desktop, currently, for you to be able to see your upcoming meetings, you need to click the date on the calendar to show scheduled meetings. 
 
We welcome your ideas, requests, or comments about Zoom. We'll use them to improve our service.
 
You may fill out a feedback form located at  https://www.zoom.us/feed . 
 
If you have any questions or concerns, please let me know.
 
For further inquiries, please feel free to visit our website at https://support.zoom.us."

So, Zoom has done away with the sidebar that shows all upcoming meetings, and to find them, users have to click through the calendar, day by day. This change means info that was provided at a glance now requires numerous clicks. What a horrible UX change that makes the app less efficient.

I did the latest update and rebooted my computer.  Unfortunately, I'm still not seeing the "anytime meetings" link.  I only have a "schedule meetings" link as shown below.  Any ideas as to what else I can do to see my upcoming meetings on the app? 

Note: I can see them if I log into the website.  However, that is very inconvenient. Although I'll use it as a necessity for now.

Hurray! Thank you!