Châteaux de Château-Verdun et de Gudanes
18th-century château in Ariège, France.
Each edition grades its towns against each other only.

What there is to see lies just outside: 3 places within 5 km of its centre. The commonest are 2 châteaux and a museum. A drive of 13 km brings you to Château de Montségur.
Then come a château and a museum, behind Châteaux de Château-Verdun et de Gudanes.
Best known first: by how many Wikipedia and sister-site articles cover each place (Wikidata’s count). It isn’t a ranking of how good they are.
Leave town to the southeast for most of the 3 nearby.
The first 20 on the list, numbered as below. The shape is the commune of Appy; the orange dot is its centre. © OpenStreetMap contributors · commune boundary: IGN
Châteaux or heritage sites lead the count with 2 of 3.
Dark: in Appy. Light: in the communes within 5 km of its centre.
All 3 on the list lie within 5 km of its centre.
Nothing is mapped in Appy itself; these are within 5 km of its centre.
Out of town, Château de Montségur (13 km) leads 12 names to know.
MuseumChâteau de Foix22 km northwest, in FoixAttractionAttractionGrotte de Lombrives10 km west, in UssatChâteauChâteauChâteau de Roquefixade17 km north, in RoquefixadeChâteauChâteauChâteau de Miglos12 km west, in MiglosAttractionAttractionChâteau de Puivert30 km northeast, in PuivertChâteauChâteauChâteau de Montaillou13 km east, in MontaillouCathedralCathedralCathédrale Saint-Antonin de Pamiers37 km north, in Pamiers
CathedralCathédrale Saint-Maurice de Mirepoix35 km north, in MirepoixChâteauChâteauChâteau de Lagarde33 km northeast, in LagardeChâteauChâteauChâteau d'Usson30 km east, in RouzePlaces within 40 km of Appy with an article in both French and English Wikipedia, nearest first.
Nothing is mapped in Appy itself, but within 5 km there are Châteaux de Château-Verdun et de Gudanes, Château de Lordat and Espace muséographique de Talcaneô.
One, in town or within 5 km: Espace muséographique de Talcaneô.
The nearest with articles in both French and English Wikipedia: Château de Montségur (13 km), Grotte de Niaux (12 km), Château de Foix (22 km), Grotte de Lombrives (10 km).
From OpenStreetMap and Wikidata: named museums, galleries, châteaux, abbeys, gardens, zoos, theme parks and other visitor attractions whose mapped point lies inside the commune of Appy, then those in the communes within 5 km of its centre, and well-known places within 40 km. Houses, ruins and gardens need a sign they’re open to visitors; places marked private, closed or disused are left out. The historic-monument link is the Culture ministry’s Mérimée record. A place that isn’t mapped isn’t listed, so this isn’t everything there is to see.
Sources: OpenStreetMap (© OpenStreetMap contributors, ODbL), Wikidata (CC0: descriptions, websites, Wikipedia articles), the Culture ministry’s Mérimée database (Licence Ouverte 2.0), IGN commune boundaries. Distances are from the commune’s centre point.
Photos from Wikimedia Commons, each under its own licence (our copy, resized).
Contains public sector information under the Licence Ouverte / Open Licence 2.0 (Etalab): INSEE, DGFiP, the Interior Ministry’s statistics service (SSMSI), the Ministry of Education (DEPP), the Health Ministry’s statistics service (DREES) and the Housing Ministry (Carte des loyers). Commune boundaries: IGN Admin Express.