Chapelle Saint-Jérôme d'Ax-les-Thermes
Chapel located in Ariège, in France.
Each edition grades its towns against each other only.

Look within 5 km of its centre for the 4 places to visit; none is in Vaychis. There are 2 museums and 2 châteaux to choose from. At 15 km, Château de Montségur is worth the journey.
Along with Chapelle Saint-Jérôme d'Ax-les-Thermes, see 2 châteaux and a museum.
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.
To the southeast is where most of the 4 lie.
The first 20 on the list, numbered as below. The shape is the commune of Vaychis; the orange dot is its centre. © OpenStreetMap contributors · commune boundary: IGN
Count 2 museums or galleries and 2 châteaux or heritage sites.
Dark: in Vaychis. Light: in the communes within 5 km of its centre.
4 places, all within 5 km of its centre, make the list.
Nothing is mapped in Vaychis itself; these are within 5 km of its centre.
Most famous of the 12 is Château de Montségur, 15 km from the centre.
MuseumChâteau de Foix30 km northwest, in FoixChâteauChâteauChâteau de Montaillou8.9 km northeast, in MontaillouAttractionAttractionChâteau de Puivert29 km northeast, in PuivertAttractionAttractionGrotte de Lombrives18 km northwest, in UssatAttractionAttractionFour solaire d'Odeillo33 km southeast, in Font-Romeu-Odeillo-ViaChâteauChâteauChâteau de Roquefixade22 km north, in RoquefixadeChâteauChâteauChâteaux de Château-Verdun et de Gudanes11 km northwest, in Château-VerdunChâteauChâteauChâteau de Miglos18 km west, in MiglosChâteauChâteauChâteau d'Usson23 km east, in Rouze
CathedralCathédrale Saint-Maurice de Mirepoix39 km north, in MirepoixPlaces within 40 km of Vaychis with an article in both French and English Wikipedia, nearest first.
Nothing is mapped in Vaychis itself, but within 5 km there are Chapelle Saint-Jérôme d'Ax-les-Thermes, Château de Savignac, Château de Villemur and Espace muséographique de Talcaneô.
2 museums and galleries in town or within 5 km, including Chapelle Saint-Jérôme d'Ax-les-Thermes and Espace muséographique de Talcaneô.
The nearest with articles in both French and English Wikipedia: Château de Montségur (15 km), Grotte de Niaux (19 km), Château de Foix (30 km), Château de Montaillou (8.9 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 Vaychis, 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.