There are a variety of different synonyms that can be used to describe an appetizing store. Some possible options might include a gourmet food shop, a culinary boutique, a specialty grocery store, or a delicatessen. Depending on the specific focus of the store, other potential synonyms might include a cheese emporium, a bakery, a tea or coffee shop, or a spice market. Other descriptive terms that could be used to convey the appeal of an appetizing store might include terms like mouth-watering, tempting, delectable, or scrumptious. Ultimately, the best synonym to describe an appetizing store will depend on the specific nature and focus of the store, as well as the preferences of the individual describing it.