Couvent des Récollets de Conflans-sur-Lanterne
Convent located in Haute-Saône, in France.
Each edition grades its towns against each other only.

A day out from Ainvelle leads to Abbaye de Luxeuil, 11 km away. With nothing in Ainvelle, the list has 2 places within 5 km of its centre. Among them are a monastery and a château.
After Couvent des Récollets de Conflans-sur-Lanterne comes a château.
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.
Château des Bouly, 4.7 km away, is the farthest on the map.
The first 20 on the list, numbered as below. The shape is the commune of Ainvelle; the orange dot is its centre. © OpenStreetMap contributors · commune boundary: IGN
Both are châteaux or heritage sites.
Dark: in Ainvelle. Light: in the communes within 5 km of its centre.
You will find both within 5 km of its centre.
Convent located in Haute-Saône, in France.
Nothing is mapped in Ainvelle itself; these are within 5 km of its centre.
Abbaye de Luxeuil, 11 km away, is the best known of the 12.
MuseumMusée Jean-Léon-Gérôme26 km south, in VesoulChâteauChâteauChâteau de Fontenoy-le-château14 km north, in Fontenoy-le-ChâteauAbbeyAbbeyAbbaye de Lure25 km southeast, in LureGardenGardenArboretum de la Hutte25 km northwest, in Hennezel
ChurchÉglise Saint-Georges de Vesoul26 km south, in VesoulGardenGardenArboretum de Xertigny25 km northeast, in XertignyMuseumMuseumMusée départemental d'Art ancien et contemporain39 km north, in ÉpinalChâteauChâteauChâteau d'Épinal40 km northeast, in ÉpinalChâteauChâteauChâteau d'Étobon39 km southeast, in ÉtobonMuseumMuseumÉcomusée vosgien de la brasserie38 km north, in Ville-sur-IllonPlaces within 40 km of Ainvelle with an article in both French and English Wikipedia, nearest first.
Nothing is mapped in Ainvelle itself, but within 5 km there are Couvent des Récollets de Conflans-sur-Lanterne and Château des Bouly.
No museum or gallery is mapped in Ainvelle or within 5 km.
The nearest with articles in both French and English Wikipedia: Abbaye de Luxeuil (11 km), Château d'Oricourt (30 km), Musée Jean-Léon-Gérôme (26 km), Château de Fontenoy-le-château (14 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 Ainvelle, 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.