Given the my post in the "Best Martell Card thread, I thought I'd start something to keep that one on topic:
I do find it interesting, from a historical perspective, what path events have taken. PS (along with Immunity to Events) came out in Valyrian Edition as part of a design direction to make characters more durable. Events like Put to the Sword, Tears of Lys and Contested Claim had been the dominant neutral character control, and could create huge swings (especially a first turn Sword & Put to the Torch), and it almost functioned as a save in those cases as such. Now it seems were more about cancelling effect events (or forcing through said events, when the opponent holds a Paper Shield.
I still wish Paper Shield couldn't cancel events that had other costs like "kneel a character to..." and the above point is supported by what seems like little play of "Fear Cuts Deeper Than Swords."
I realize this will vary by deck-type and house, but what do you find yourself mostly regularly cancelling with A) Paper Shield and B) The Hand's Judgement (with the assumption that everything listed for A are suitable targets for B. Obviously, He Calls it Thinking is quite powerful in that it cancels both, though it's more limited in what other events it can stop. And I will be interested to see how much Doran's Game get's played as the current cycle rolls out (ironic that playing the card for full effect makes it cancellable by both Paper Shield _and_ He Calls it Thinking, or am I making Alanis' mistake with that comment).
A) Paper Shield, He Calls it Thinking, Narrow Escape, Forever Burning
B) Westeros Bleeds, Favorable Ground, The Hatchling's Feast, Field of Fire, See Who is Stronger.
Perhaps we can skip B, as it's really just a question of what are the strong events out there, or particularly the subset that hurts your deck.