• at a hotel near Narita airport if you predict to be very tired at the time of arrival.  Disadvantage: Narita has no entertainment.  Hotel meals are very expensive, though the hotel fee itself could look deceptively cheap.
• at Shinjuku, 2 hours away from the airport by train.  I like this because, though tired, I want to get rid of my jet lag by doing things, such as dinner and staying awake at least till 10PM.  Disadvantage: JR railpass is only one week.  You may need to pay the local train to Tokyo if you want to start the pass from the second day.

Saturday:

• Start a one week JR Train Pass by letting JR validate it.
• Hang out in Tokyo
  • Meiji Jingu (temple)
  • Yasukuni Jinja (temple)
• Dinner
  • Shinjuku

Sunday

• Tokyo.  Hang out.  (Or could go to Kyoto)

Monday

• Go to Kyoto by Shinkansen (bullet train) by JR railpass.
• Stay at a hotel in Sanjo area (e.g., Hotel Alpha, Royal hotel, etc.)
• Dinner and Drinks in Sanjo-Shijo area.  Hangout information, click here.

Tuesday

• Take a one day trip to Nara possibly using JTB sunrise tour or take a local train using JR pass.  Just going there by train may be cheaper since you already have a JR pass.

Wednesday

• Go to Hiroshima using JR pass.  Plan to arrive by 11:00PM
• Take a street car to Hiroshima peace museum.
• Eat Okonomiyaki, the Hiroshima meal, for lunch
• Dinner at Suishin, the old famous Hiroshima famous restaurant.  The address is Tatemachi 6-7, phone number 082-247-4411, but any cab driver would know where this old popular restaurant is.  This is not the cheapest restaurant.

Thursday

• In the morning, go to Miyajima, an island off the Hiroshima city. 
• In the afternoon, take a local JR line called KURE-line to take about two hour (?) ride long the beautiful insland shoreline.
• From Mihara, which is the end of KURE-line, you take a bullet train to go back to Osaka. 
• Stay at a hotel in Shinsaibashi.  Dinner at Shinsaibashi area.

Friday

• From Namba station (near Shinsaibashi), take a train to get to Osaka International airport.

Notes: Kyoto is famous for its temples' montly free markets.  They sell nice used kimonos.  Worthwhile checking when it happens.