Back around 1986, when they delivered the last B-1A to the museum (since transfered to a different museum) they flew it into the museum runway.
I was flying -135s out of Grissom AFB at the time, and we were scheduled for a typical training mission - hit a B-52, give him a few thousand pounds of offload, fly a nav leg, then back to the home drome for some pattern work. Got a call the night before moving our show time up an hour, and telling me we were going to refuel a B-1 with something like a 50K offload. At the time, the B-1B was just coming on line, and boom operators needed to be checked out before refueling them - we didn't even have an instructor qualified at the time.
Turned out it was the B-1A going into the museum - in order to land at the museum field, they had to be light weight, but if they couldn't get in (due to weather, etc) they were going to return to Edwards AFB, and wouldn't have enough gas to make it back. We rendezvoused with them in a local MOA, passed a little gas to make sure he could take fuel from us, then orbited until he landed. We then went and hit that B-52, flew the nav leg, then ended the day with three weather diverts, the last one taking us to Minot AFB for the night.
We had an IP on board, so I got to go back and shoot some pictures during the A/R - I need to find those slides and scan them one of these days.