There is also a similar Assignee (which only shows projects with assignable permissions) permission type, which can be enabled in the permission-types.xml file. Similar to the reporter equivalent, this permission type checks whether users can be assigned issues in the project. Just like the reporter permission type, this should only be applied to the Browse Projects permission:

<!-- Uncomment & use this permission to show only projects where the user has the assignable permission and issues within that where they are the assignee -->

<!-- This permission type should only ever be assigned to the "Browse Projects" permission. -->

<!-- Other permissions can use the "reporter" or "create" permission type as appropriate. -->

<!-- 
<type id="assigneeassignable" enterprise="true">
  <class>com.atlassian.jira.security.type
  .CurrentAssigneeHasAssignablePermission</class>

</type>

-->