Containment Priest is the single best card against this matchup: it exiles any nontoken creature that enters without being cast, completely shutting down Reanimate, Animate Dead, and Shallow Grave when they try to put Griselbrand or Atraxa, Grand Unifier onto the battlefield. Rest in Peace backs this up by exiling their graveyard on entry, removing the reanimation targets outright and stopping Faithless Looting flashback value. Solitude is risky to evoke here since giving up a card to exile a creature doesn't stop them from simply reanimating another threat the following turn, and Seasoned Dungeoneer's initiative plan is too slow against a deck trying to win on turn two or three. Keep Chalice of the Void at X=1 to disrupt Dark Ritual, Thoughtseize, Reanimate, and Cabal Therapy.