One of famous outlet mall is Mitsui outlet park, if you are looking for things to do in Tokyo Area, lets go to shopping.
They have some shops in Tokyo, Yokohama Area, This time I introduce Makuhari. it in Chiba, It need 1 hour from Central Tokyo,
if you go to Narita airport, you can take a direct bus from Kaihin makuhari. very good Access!
closest station is Kaihin Makuhari station. it font of station. some outlet shop is located in far form station. but this time no need car. very convenient. most of shop are fashion and sport goods,
if you need more detail, please check their own web site