Harry using the power of the Elements of Harmony to supercharge his fire spell to kill the Nightmare. This was after actually noticing that he was possessed to begin with, and mentally caging the Nightmare first. Something that Luna, a GODDESS (or at least equivalent to a Fae Ladynote Maybe as powerful as a Fae Queen.), admits to being a little envious about.
In Chapter 6 of False Masks, Harry vaporizes a runaway cart that's about to crush him and the Cutie Mark Crusaders, leaving nothing but a crater. Even he's a little surprised by how powerful his spell was.
What Twilight Sparkle saw when she Soulgazed Harry deserves honorable mention. While obviously non-canonic, it describes what Harry does very well.
Harry and Rainbow Dash fighting a Hydra in False Masks 7 and defeating it with the power of poisoned candy.
Pinkie Pie cheerfully tricking the palace guards sent to guard Harry, Rainbow Dash, Applejack, Rarity, Fluttershy and Spike and the triumphant return of sleeping candy at the end of False Masks 12.
Bon Bon: You’re a man of iron and blood, stone and fire. Touched by darkness, but not overcome by it. Beaten and damaged, but unbowed. Unrelenting in word and deed, in thought and creed. You would lay siege to Tartarus itself if that’s where Twilight had been taken. And all because she’s your friend. Because you would do anything to keep her safe. Because you care.
Even if it's only temporary and Celestia is injured in the process, in chapter 18 of False Masks, the Princesses vs He Who Walks Behind. Luna drives ice and shadow spikes into its body and Celestia insta-banishes the Demon by driving her hoof through its skull.Don't mess with the Princesses of Day and Night.