There was a group of guys that had restored a Boeing Stratoliner in Seattle. Tons of work and money. They were flying it from one airfield over to another (maybe the air museum?)
Anyway - it ran out of fuel as well. Ended up landing in the water. I think they tried to get it near the shore and shallower water, and I think they were able to load it up on a barge. Not sure if they redid the salvage effort.
Here is the account from an article of the Seattle crash:
With power going out on one engine of The Boeing’s Co.’s historic S-307 Stratoliner and a cockpit warning light showing low fuel pressure in another, Capt. Richard “Buzz” Nelson, a veteran Boeing test pilot, commanded the flight engineer to switch fuel feed to another tank.
“There is no other tank,” the flight engineer responded. “We are out of fuel.”
Moments later, Nelson radioed “mayday” and the Stratoliner, all four engines out, ditched into Elliott Bay about 50 feet from shore and in view of people eating lunch at nearby Salty’s restaurant.
None of the four crew members was seriously hurt and the plane, though badly damaged, was recovered from the salt water and is now being restored for the second time.