FNAF 2 is a paid game ($7.99 on Steam). Most "unblocked" versions are web demos or fan-made HTML5 clones. They offer the first 1-3 nights for free.
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In FNAF 2, you play as a new security guard at a renovated Freddy Fazbear's Pizza restaurant. The game takes place 30 years after the events of the first game, and the restaurant has been rebuilt with new animatronics. Your goal is to survive five nights while avoiding being attacked by the animatronics. fnaf 2 unblocked games