You can do this in Confluence: https://docs.atlassian.com/ConfluenceServer/rest/7.5.1/#api/audit

You can do this in Jira: https://confluence.atlassian.com/jiracore/audit-log-improvements-for-developers-1019401815.html

You can do this in Crowd: https://confluence.atlassian.com/crowd/browsing-the-audit-log-890749381.html

But currently there's no way to get a full list of the Bitbucket audit logs through the API in the way that you can for Confluence, Jira and Crowd.