Does any company (or country) still use Zeppelins or airships? Why not?
Zeppelins had a rigid skeleton and several internal gas bags. None of them are still in operation.

Airships today are blimps, that is, one big gas bag which is kept in shape by internal pressure, which in turn is regulated by ballonets.

The only airships flying today are used for


Advertising (Goodyear blimps, MetLife blimps)
Military observation (Lockheed Martin P-791)
Sightseeing tours (Zeppelin NT)


All attempts (and there were many) to use airships for cargo transport have eventually failed, sometimes spectacularly.