Containment Priest is the single best card against this matchup, completely shutting off Reanimate, Animate Dead, and Shallow Grave by exiling Griselbrand, Archon of Cruelty, or Atraxa, Grand Unifier the instant they'd enter from the graveyard rather than being cast. Surgical Extraction can proactively remove their reanimation target from the graveyard after a Faithless Looting or discard, denying the combo outright. Terminus is far too slow since they can reanimate a threat in one turn well before we'd ever resolve it, and Stifle has almost no relevant activated/triggered abilities to target here. Keep Force of Will and Force of Negation up to counter their enablers like Animate Dead or Reanimate on the stack.