Hi

These are some department store info below.

Osaka

*Hankyu Department Store Umeda Main Store
https://www.hankyu-dept.co.jp/fl/english/honten/?ttop

*Takashimaya Osaka Store
https://www.takashimaya.co.jp/osaka/store_information/index.html

Tokyo

Near Tokyo Station

*DAIMARU Department Store
https://www.daimaru.co.jp.e.md.hp.transer.com/tokyo/

Near Ginza Station

*Ginza MITSUKOSHI Department Store
https://www.mitsukoshi.mistore.jp.e.bm.hp.transer.com/ginza.html

Near Shinjuku Station

*ODAKYU Department Store(Public)
http://translation.odakyu-dept.co.jp/LUCODS/ns/tl.cgi/http%3A//www.odakyu-dept.co.jp/foreign/en/shinjuku/index.html?SLANG=ja&TLANG=en&XMODE=0&XJSID=0

*ISETAN Department Store(High class)
https://www.isetan.mistore.jp.e.az.hp.transer.com/shinjuku.html

*TAKASHIMAYA Department Store(a little High class)
https://www.takashimaya.co.jp/shinjuku/store_information/index.html

*KEIO Department Store(Public)
https://www.keionet.com/info/shinjuku/foreign/en/

If you want to see the real life-style of Japanese people, you better visit Odakyu Department Store or Keio Department store. They are next to each other.

I hope they are useful info for you.