I always thought of trinkets like Carrot on a Stick and the Chained Essence of Eranikus as bag-space wasters rather than trophies, but 35 Yards Out makes an excellent case for them as memorable trinkets. I do agree with the Mark of the Chosen and the Hypnotist's Watch (and I've even gotten the Watch to drop aggro for me) -- there are some trinkets and items you come across in your travels that might be trash to everyone else, but are the rarest of possessions for you and your character.
The Ravager is probably my biggest personal trophy -- everyone else told me that the proc was trouble (and in fact, I did have to switch out of it in instances to avoid breaking CC, though that may have changed since I last used it), but I just loved the idea of spinning around with a giant axe so much that I just had to have it. And longtime readers will know of my fascination with the Tier 0 Shaman shoulders -- most people aren't big fans, but for some reason, I love them.
It's true -- one player's vendor trash in game is another player's treasured dream loot. What exactly is it that makes us pine for a certain item -- certainly class and playstyle have something to do with it, but it seems like Blizzard makes these items so wild and varied that no matter what you find out there, something will definitely appeal to you more than other players.