Minecraft Adventure

The blocky look comes with a set of expectations - mining, building, something explosive - and these games work through most of them.

Obby: Mine Crasher puts a course underground, so you're navigating a mine rather than digging it. Block Mine Fuse TNT is about the explosives specifically, and it's as straightforward as it sounds. Sprunki Craft - Sandbox 3D is the closest thing here to open building, while Steve parkour in mine turns the whole setting into a movement challenge. The blocky look does a lot of the work, setting up expectations about mining and building that each game then either meets or cheerfully ignores.

There are 7 free games under this tag, all playable in the browser with nothing to install, and none of them need the actual game installed to make any sense to you.

The wider run of exploring is in Adventure games, and Building Games is the tag if constructing things is the appeal.