Hi BarbaraHarellBA,
If you want to unsubscribe to email news letters or notifications you can go to: Settings on the top left (gear icon)>> View Outlook settings>>Subscriptions>> Click Unsubscribe>>then follow through the next steps. You can use the screenshots below as reference.
If can't unsubscribe from the email notifications, as a work around you can block them so that they will go straight to your Junk mail folder. You can go to: *Settings>> View all Outlook settings>>Junk email>>Under Block senders and domains>> Add the email that you want to block.*You can check the screenshot below if you need reference.
Let us know if you have other concerns.
Bob