public class User {
  private final int id;
  private final String firstName;
  private final String lastName;
  private final Boolean active;

  // Для краткости я пропустил конструкторы, геттеры и сеттеры
}

public static List<String> activeById(List<User> us) {
   List<User> users = new ArrayList<User>();

   for (User u: us) {
     if (u.getActive()) users.add(u);
   }

   Collections.sort(users, new Comparator<User>() {
      public int compare(User a, User b) {
        return a.getId() - b.getId();
      }
   });

   List<String> finalUsers = new ArrayList<String>();

   for (User u: users) {
     finalUsers.add(u.getLastname());
   }

   return finalUsers;
}

List<User> inputUsers = new ArrayList<User>();
inputUsers.add(new User(11, "Nick", "Smith", false));
inputUsers.add(new User(89, "Ken", "Pratt", true));
inputUsers.add(new User(23, "Jack", "Sparrow", true));

List<User> activeUsersById = activeById(inputUsers)