Okay. The thing I like the best about Trivium is how diverse they're albums are, which is why I have many great songs to recommend for you.
From the first album Ember To Inferno, the title track Ember to Inferno is a good song, so is When All Light Dies. Wonderful metal songs. From their second album Ascendency, I would recommend A Gunshot To The Head of Trepidation, Drowned and Torn Asunder, and especially Pulling Harder On The Strings Of Your Martyr. From The Crusade, you've already been listening to Becoming the Dragon and Anthem. But there is also The Crusade, which is an epic 8 minute instrumental. Entrance of the Conflagration is also a good song.
And from Shogun, I would honestly recommend any song from the album because it's my favorite out of all of them. Torn Between Scylla and Charybdis, Down From The Sky, Into The Mouth Of Hell We March, Throes of Perdition, He Who Spawned The Furies, and definitely the title track Shogun, and 11 minute song.
Well, hope you like all these songs as much as I do! Happy listening.