Any shows preferably Japanese or Korean where the female lead is a famous idol and/or actress and the male lead is a normal guy. Maybe he works in the industry as well, but he's not her level.
The closest i can think of that fit your request is Masked. Male lead works at coffee shop.
https://kisskh.at/22683-mask
Another suggestion i had is the miracle, but the male lead is working in idol industry.
https://kisskh.at/21759-the-miracle
In addition:
Star / average man:
Tokyo Idols
Diva (2012)
Actress / musician:
The Heaven is Only Open to the Single
