Alpha Jackal - An upgraded version of the shotgun, Jackal, from Crysis 2.
Bow and Arrow - The Bow was introduced with the announcement of Crysis 3 to emphasize your "The Hunter". The bow and arrow will have multiply arrow upgrades which includes shock, incendiary, explosive and a special arrow just for stealth.
C4 - High Explosive featured in the at the end of the Crysis 3 E3 2012 Gamepaly Trailer.
Ceph Plasma Destroyer - A alien heavy weapon that fires large rounds of plasma.
Hammer 2 - Upgraded version of the hammer pistol, Hammer, from Crysis 2.
Jaw - A rocket launcher that has been in every single Crysis Game to Date.
Scar - A combat assault rifle that can be equipped with various attachments.
(The Scar has been used in every single Crysis Game to date.)
Typhoon - A new assault rifle that can go fully automatic which was showed off in the Crysis 3 E3 2012 Gameplay Trailer.
Post from http://crysis3blog.blogspot.com/p/weapons.html
Also go to the orignal post to view images of the weapons.