Hi Rob Morton, this issue (MCPE-26780) is related with error happening during conversion process. It means that the conversion process didn't start at all or after starting, can't reach 100% (give some error message or crashing). It seems that your problem is different, as you could finish the conversion process but after that, something is missing or wrong in your converted world. For this, there is a ticket already opened: MCPE-25344.
In my case, version 1.2.3 fixed the problem. I could import my worlds from Minecraft Xbox One Edition. So far, everything is there. Only problem is related with pistons. If nobody disagree, I would suggest to close this ticket.
Can someone update de affected version to include 1.2.2? This bug still an issue after this latest update.
I've seen the same problem. In my case, none of my world could be migrated, doesn't matter if it has 170 MB or 10 MB, so, it seems it is not related to the world size.
Impetico, did you have a chance to follow the Alberto Garcia suggestion to update the console and try again with Minecraft version 1.2.3 if you can transfer your legacy worlds? If you still facing problems, could you please post the error message image?