Game S.S.D.S. ~Setsuna no Akogare~

The setting takes place within the world's finest medical facility, The JOY Zaburo Memorial: St. Laforet Hospital — A place where the stylish of all stylish doctors (lady doctors included) from all corners of the world provide the best medical care to their patients with love and JOY!

Officially named as "S.S.D.S.~ Super Stylish Doctors Story~", S.S.D.S. is an "on-and-off-going" multimedia franchise that started it's run in year 2003, focusing primarily on Drama CDs, and live stage performances.

[From Tvtropes]