The King of the Giants
At the entrance to Thrymheim, Yui explains that the quest they were given was created by the Cardinal System's Automatic Quest Generation Function and that if they did not succeed in their quest, a final war event, Ragnarok, would be triggered. Sometime later, at the end of the second floor of Thrymheimr, the group encounters two minotaurs, and they are forced to rely on Sword Skills that could deal elemental damage to them in addition to physical damage, but also leave the player rigid for a few seconds after the skill is used up. With Kirito revealing his new technique of using consecutive Sword Skills with each of his swords to avoid the period of rigidity, they are able to defeat the two minotaurs. Later, after defeating the boss guarding the entrance to the lowest floor of the castle, they encounter an NPC woman trapped in an ice cage along the way. Although the others insist that it is a trap and plan to avoid her, Klein ignores their advice and frees the woman, who was revealed to be Freyja. Instead of running away, Freyja asks to join the group and Kirito reluctantly agrees to the request. After preparing for the final battle by recharging their buffs, the group enters the throne room, where they met the king of the frost giants, Thrym.
Aired 25/10/2014EP 16 - The King of the Giants

Sword Art Online II
One year after the SAO incident, Kirito is approached by Seijiro Kikuoka from Japan's Ministry of Internal Affairs and Communications Department "VR Division" with a rather peculiar request.
That was an investigation on the "Death Gun" incident that occurred in the gun and steel filled VRMMO called Gun Gale Online (GGO). "Players who are shot by a mysterious avatar with a jet black gun lose their lives even in the real world..." Failing to turn down Kikuoka's bizarre request, Kirito logs in to GGO even though he is not completely convinced that the virtual world could physically affect the real world.
Kirito wanders in an unfamiliar world in order to gain any clues about the "Death Gun." Then, a female sniper named Sinon who owns a gigantic "Hecate II" rifle extends Kirito a helping hand. With Sinon's help, Kirito decides to enter the "Bullet of Bullets," a large tournament to choose the most powerful gunner within the realm of GGO, in hopes to become the target of the "Death Gun" and make direct contact with the mysterious avatar.
(Source: Crunchyroll)