One of the most powerful features of JIRA is it's advanced search functionality. Once you populate your demo instance with some issues, you can try using the JIRA Query Language to locate them.

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How to Do It
  1. Click on the Issues link in the top navigation bar.
  2. Select the "New" tab.
  3. If there is a link for "advanced searching", click it.
  4. Enter your query in the text field

Sample Queries

assignee = currentUser() AND status not in (Resolved,Closed)
Returns all issues assigned to you that are not Resolved or Closed.

issuekey in votedIssues()
Returns all issues that you have voted on.

reporter != currentUser() and issuetype != Bug
Returns all issues that were not reported by you and whose issue type is not Bug.

Check out the JQL documentation to read about all the functions and operators you can use.