curated data - Using GraphData to generate all directed graphs with n vertices

Using Combinatorica, it was possible to generate unlabeled (non-isomorphic) directed graphs of $|V|=n$. Here the example is for $n=4$:

Needs["Combinatorica`"]
ShowGraph /@ ListGraphs[4,Directed];

Using GraphData, I know how to generate undirected ones:

GraphData /@ GraphData[4]

What's the trick to make it generate directed ones?

Bonus point for directed and connected ones.