$ java Foo
Sun Oct 31 17:59:44 EET 2010
Sun Oct 31 17:59:44 EET 2004
Sun Oct 31 17:59:44 EET 1999
Sun Oct 31 17:59:44 EET 1993
Sun Oct 31 17:59:44 EET 1982



import java.util.*;

public class Foo {

  public static void main(String[] args) {

    Calendar cal = Calendar.getInstance();
    cal.setTime(new Date());

    for (int year = 2010; year > 1980; year--) {
      cal.set(Calendar.YEAR, year);
//      for (int i = 11; i > 0; i--) {
  //      cal.set(Calendar.MONTH, i);
        cal.set(Calendar.MONTH, Calendar.OCTOBER);
        int fridays = 0;
        int saturdays = 0;
        int sundays = 0;
        int first = cal.getActualMinimum( Calendar.DAY_OF_MONTH );
        int last = cal.getActualMaximum( Calendar.DAY_OF_MONTH );

        for (int j = first; j <= last; j++) {
          cal.set(Calendar.DAY_OF_MONTH , j);
          if (cal.get(Calendar.DAY_OF_WEEK) == Calendar.FRIDAY)
            fridays++;
          if (cal.get(Calendar.DAY_OF_WEEK) == Calendar.SATURDAY)
            saturdays++;
          if (cal.get(Calendar.DAY_OF_WEEK) == Calendar.SUNDAY)
            sundays++;
        }
        if (fridays == 5 && saturdays == 5 && sundays == 5)
          System.out.println(cal.getTime());
    //  }
    }
  }
}