With Season 2 we got the ability to display trophies in our ready room and ship's mess halls for accolades and various accomplishments. So far there seem to be two types of trophies: those that go on walls/shelves, and those that are placed on floor pedestals.
There are plenty of trophies they could add to the game but I honestly don't think we will see many, if any, new ones. I've not explored a Romulan ship fully but I don't recall seeing any wall or floor spots to display one. I doubt the devs would build a new interior like that if they planned to add more trophies.