Well, for siding, simply put in Prohibition, and the deck is dead. Until it can destroy your prohib at least. But usually by then, you already have what you wanted.
Also, random tech, but useful against a deck that relies on one Ritual Spell (not counting Advanced Ritual Art) is Curse of the Forbidden Spell. It locks the ritual spell away so it can't be used again.
Better ways are just using cards such as Divine Wrath, which is a Counter Trap, negates and destroys Herald, and can't be chained to by Herald himself.
For the rest, yeah, usual cards such as Light-Imprisoning Mirror.