Earlier, I listed seven series and one individual work by Poul Anderson that I classified as "future histories":
the Harvest Of Stars tetralogy;
It is appropriate to end with a Genesis, a new beginning, long after human extinction. With Anderson, there is always more to be said:
"Flight To Forever" and "In Memoriam" are miniature future histories;
the Time Patrol series and The Boat Of A Million Years are "past and future histories";
several works present past and alternative histories, as also does the Time Patrol;
four stories that I thought fitted into the Rustum History timeline instead form a loose "Directorate" future history.
"Home": population has grown so large and resources so low that the Terrestrial Directorate terminates all its extrasolar scientific bases, forcibly if necessary. Generations have grown on Mithras and do not leave willingly.
"The Alien Enemy": Policy has changed. The Directorate establishes extrasolar colonies. Sibylla fails but Zion, Atlas, Asgard and Lucifer survive. Returned Sibyllans, given the Sahara to develop, succeed and make a difference on Earth decades later.
"The Faun": colonists on Arcadia preserve ecological balance. A boy is trained to open his senses and comprehend his total environment.
"Time Lag" is a mini-history. The planet Chertkoi attacks the planet Vaynamo three times at sub-light speeds so that three generations of Vaynamoans grow up to resist. A woman taken captive to Chertkoi returns to meet her great-grandson.
Vaynamo is rural and peaceful, Chertkoi the opposite but both represent humanity spreading and diversifying on an interstellar scale with Old Sol's exact location forgotten a thousand parsecs away. This is an Anderson future.