Allow others to see form submissions

How can I allow others to see the submissions from my form, but not have access to editing the form?

You could share your forms' submission page:

https://www.jotform.com/help/199-How-to-Share-Form-s-Submissions-Page

Or create a grid listing report of the data and share that report:

https://www.jotform.com/help/105-How-to-Create-a-Grid-Listing-Report

Neither would require giving access to edit forms or edit data.