Are there any libraries out there that play well with LWJGL 3 for creating some primitive geometries (i.e. cubes, spheres, etc...)?
None that I know of. And that's probably because it would raise a ton of design decisions on how to go about doing that.
Provided you want to build a sphere. Then...
- should immediate mode be used to render it (like with GLU) or should the vertices be packed in a buffer object?
- if the latter, should only vertex positions be written or also normals and texture coordinates, etc.?
- if texture coordinates, which projection should be used?
- should those vertex attribute be in an interleaved buffer or in multiple separate buffers?
- which winding order should the vertices be defined in?
- which exact topology should the sphere have? subdivided dodecahedra or longitude/latitude subdivision with two poles?
All those potential requirements make it hard to really suit a sufficiently large set of particular use cases.
But you could of course start another LWJGL companion library trying to attack this problem.