Is there way to select multiple issue in issue-list in Trac, like it is possible in Jira or Redmine, and perform any operations with them? Like changing status, etc?
Trac 1.0 supports operations on multiple tickets (which it calls "Batch Modify") from any "custom query" results list, but not from the "report" views.
For older trac versions, the functionality is available as a plugin: http://trac-hacks.org/wiki/BatchModifyPlugin
Here's a screenshot of the plugin UI: