Trophy Items are given to your Companions to raise their affection level for you. Depending on your companion it may or may not effect their affection level. This page here is going to give you a run down of each of the Companions and whether or not they like this gift. For more information on the specific Companion's likes and dislikes click on their link below.
Galactic Crime Lords Identity Card (Trophy Blue Item)
Splinter of a Rakata Stronghold (Trophy Epic Item)
List of Companions that like accept Trophy gifts.
Bounty Hunter Companions
Imperial Agent Companions
Sith Inquisitor Companions
Sith Warrior Companions
Jedi Consular Companions
Jedi Knight Companions
<This is currently a work in progress, I will work more on the formatting over time most likely there will be ads displayed here above the comment section in the future, the usual ones you see on websites prior to the disqus chat. They have their own ad system called Revel which I need to wait for approval for, I don't know how long it will take but once that's done I can reformat this.>
If you find anything wrong with the guide on this page or just have a comment please feel free to leave it below!