Attractive because of being unusual and especially old-fashioned. (Cambridge Dictionary)
Quaint can also be used to show that you do not approve of something, especially an opinion, belief, or way of behaving, because it is strange or old-fashioned: (Cambridge Dictionary)
Having an old-fashioned attractiveness or charm; oddly picturesque: (Dictionary.com)
Strange, peculiar, or unusual in an interesting, pleasing, or amusing way. (Dictionary.com)
Unusual or different in character or appearance : Odd. (Merriam – Webster)
Something that is quaint is attractive because it is unusual and old-fashioned. (Collins Dictionary)
The most quaint small town in every state.
“Delights from Mario Cesare b&b in quaint style”.