How to enjoy New Years in Japan.
This is an interesting subject, which is actually difficult to answer as there are many ways to enjoy New Year's in Japan. I'll try to tackle this one and give you a few options.
Option one: New Years Eve Party!! During this time of the year, there are parties and events everywhere (Roppongi, Ginza, Aoyama, etc.) New Years Eve parties have been getting bigger and better each year and depending on what your flavor of fun is, I'm sure you can find a party that suits your style of play.
Option two: Stay home and relax with family and TV. This is the time of the year when all the great artists, entertainers and presented on the Year End NHK show "Kohaku Uta Gassen". It is a fun show, with the White and Red teams performing live on TV and a truly Japanese way to spend New Years Eve, then you eat your New Years Soba (Toshi Kosu Soba) to bring you in to the New Year.
Option three: Combine both options above, then if you're able to wake up at a decent time the next day "New Year's Day", eat some great Osechi (new years food. Visit a few friends and have a drink and if the friends have kids, give them "Otoshi dama" (new year's money gift. Kids love "Otoshi Dama" it is the Japanese version of Chirstmas. The kids and sometimes adults use the money they collect to buy a nice toy or something. It is also fun to give the "Otoshi Dama, as you have to put the money in a special envelope and it makes you feel good to give.
Last option from me, but so many more out there: Go to the temple, throw a few coins in the wishing collection box and wish for a healthy New Year. This is great fun, so many people, lots of Kimono, lots of tradition.
New Years in Japan is truly special! Akimashite Omedeto Gozaimasu!!