Western-style restaurant
A casual restaurant serving yōshoku (Japanese-style Western dishes) such as omurice, hamburg steak, and curry rice. Often family-run and nostalgic in atmosphere.
I ate omurice at a local Western-style restaurant.
The hamburg steak at that Western-style restaurant is superb.
Compound of 洋食 (yōshoku, 'Western-style food') and 屋 (ya, 'shop').