Some Трофеи are still дана out. I received two new article-writing Трофеи recently, and I believe that the Трофеи for fanning people, number of years of membership etc are still being handed out (but I haven't gotten any recently myself). I'm not sure about the Болталка ones. I think the holiday ones have been stopped.
From what I understand, new Трофеи are no longer being added to the site, but the ones that had already been made are still intact and can be earned as per usual.
For example, Ты can still earn Трофеи for adding new friends, submitting articles, and being a member of Fanpop for a certain amount of time, but holiday Трофеи are no longer дана out to those who log in on special days of the year.