As Crysis newbie, I can not do any comparison to Crysis 1 and 2, but I would like to express a strong buy recommendation at the beginning of my review anyway.
In Crysis 3 we see a fantastic artwork, which is expected to be on the market probably the (currently) best. Incredibly sharp textures, brilliant DX11 effects and elaborate modeling provide a gaming experience that seeks its equal. The sound leaves no wish unfulfilled and overwhelmed the entire length. With jungle noises in the background through the rubble and overgrown New York to fight creates such a unique atmosphere.
The multiplayer is preparing tremendous fun. Varied modes keep boredom at bay. Maps and weapons are well-balanced and provide a fair fight. With the Hunter mode an exciting version of the game is created, which demands a lot of skill and nerve.
Last but not least I would like to set up a credit to the quality control of Crytek. Here was really clean and worked as it is necessary (so far) no patches.
All in all, deserved my tip and five stars of this game. A prime candidate for Game of the Year-2013.