New Years eve
Just a heads up without a doubt some jerk is going to give you the "only amatuers go out on NYE" speal. Screw it go out anyway and have fun. Although I think any decent place will be booked at the time you are looking for this close to the holiday.
Red Bank (Just north of Red Bank anyway)- Nicholas
Sea Bright- Ama
Long Branch- Sirena
Atlantic Highlands- Copper Canyon
Each of these places has a website so you can check out menu. Good luck and enjoy!