How to replace two-prong outlets with three-prong without rewiring

What people tried

Every workaround mentioned in the threads below. We haven’t tested any of them — and nobody here is claiming they worked.

1. 1
   installing a GFCI receptacle or breaker
2. 2
   adding a separate ground wire if a crawlspace or basement is available
3. 3
   leaving the ground screw empty on the new three-prong outlet
4. 4
   Using surge protectors plugged into the damaged outlets
5. 5
   making sure LINE hot and neutral are on the right screws
6. 6
   Go into the crawl space, pull that wire out, put it into a box, splice a new Romex to it, mount the splice box, run new wire up the wall
7. 7
   Mount a surface mount box to the wall at the floor level
8. 8
   Secure that current box to the floor or wall, then use a 14 gauge extension cord
9. 9
   Cut a small part of the basement drywall ceiling and wall out to run a new line
10. 10
    Add an inline splice kit and pop a wall box above baseboard level

In their words

Unedited, most upvoted first, each linked to the thread it came from.