Bandai Namco has announced Sword Art Online third game for PlayStation 3 and PS-Vita named as Lost-Song. Sword Art Online: Lost-Song is set in the ALfheim Online MMORPG world which has been shown in the part 2 of SAO anime.
The first game footage released by Bandai Namco games.
The second game Sword Art Online: Hollow Fragment was for PS Vita which was pretty good except there were few English translation issues. SAO: Lost Song is currently only announced for Japan and is set for 2015.