Big Fancy House: Subverted. By Japanese standards Shurato's house is very big (specially considering it's in the middle of Tokyo), but it looks rather old as well. It's likely an old building from the post-war years that hasn't been modified in many decades.
Break the Cutie: Not only his best friend becomes his worst enemy, but he doesn't take the deaths of people like Saras, Mayuri, and Ryoma in almost immediate sucession very well. And yet, he doesn't break.
Cain and Abel: The Abel to Gai's Cain, albeit in a childhood friends sense.
Light is Good: His armour is mostly white and golden. It contrasts sharply with Gai's.
The Power of Friendship: He strongly believes in it, and one of his reasons to accept the call is because he doesn't want the Hachibushu to kill each other. The other is his desire to learn what led Gai to a Face-Heel Turn.
This Loser Is You: People remark more than once on how unfit he is to be a Hachibushu.
Unskilled, but Strong: Shurato has lots of raw power but lacks the proper training, as he was trained in martial arts on Earth but that doesn't exactly help him to control his Sohma when he's in the Tenkuukai.
Undying Loyalty: To Vishnu and Indra, giving him at first quite a bit of tunnel vision. When he realizes that Indra is NOT to be trusted anymore, he switches to Vishnu's side and joins Shurato's quest. Doesn't mean that he's not pained when he and Shurato finally face Indra.
Dark Magical Girl: Personality-wise - she's not a bad person in herself, just a confused and emotionally-broken young girl who sincerely loves Indra and has quite a bit of inner pain about it. Later, like many other DMG's, Heel Face Turns to the side of good.
World-Healing Wave: She releases one after being de-petrified, restoring both Tenkuukai and Earth and reviving the fallen Hachibushu. The only one she cannot bring back is Gai, since he's in the power of Shiva. And then it's massively subverted: when Shiva properly shows up, the Tenkuukai starts to fall apart again.
Let Them Die Happy: When the dying Mayuri asks about Saras's well-being, Hyuga tells him that she's wounded but alive. (She's already dead.). He says "I see...", but it's not clear if he believes them or not.
Was It All a Lie?: When Hyuga mentions the trope, Indra's reply is basically... A type 2: "No. I never lied. When I said I wanted to protect Tenkuukai, I meant it. But my duty now is to destroy it. And I mean that too."