Locus Map Lite offers a selection of maps covering the whole world:
To select a particular map, open the map selection on the main screen and select:
By default, the app automatically combines offline LoMaps (when downloaded) and auxiliary data that is streamed from the internet (LoPoint photos, terrain shading…). You can change this default to online only or offline only:
If you want to use the app in areas without an internet connection, download an offline LoMap of the area: