If you’re looking for normal supermarket stuff I don’t have an answer for you, but little shops that sell snacks drinks etc will usually deliver if you live nearby – can find one near your place and ask.
One thing I just checked out that waifood site, in English, and saw some oddities:
(Best By April 5th)Whipping Cream
￥10
(expired) Dole Tomato Juice
￥5
Woot, can’t wait to order me some expired tomato juice.