Ajiro
Kaiseki sets of the best of the local seafood catch.
Midoriya Farm
The famed Kenran Beef is grilled here; if you enjoy it, gift boxes are available to take home. Seafood is served as well.
Isuzu
Sea urchin and other tasty sea critters.
Tangotei
Delicious, freshly caught seafood, including knockout sashimi. It's in the former town of Tamagawa, recently merged into Hagi now northeast of the city center near JR Esaki Station.
Kenran Beef è¦èç is a local specialty. It has a fatty, marbled texture and tenderness. Most hotels will have it on their dinner menu. Hagi is also a great place for fresh seafood, particularly sea urchin and squid.
Fujitaya
A local institution — though a bit tricky to find — Fujitaya serves hot tempura and other dishes, but the specialty is seiro-soba, in which tasty soba noodles are delivered to your table in a steaming basket.
Hotori Tei
Lunch sets in a lovely garden setting, in Jokamachi. Later in the evening, the same folks run Sam's Irish Pub see Drink.