Is there a way to transfer my saved data from a dead Xbox One to another?

There is no way to transfer games save data from one account to another because save data is associated with gamer tag

Hello IvanAnisimov,

Thank you for posting on the Xbox forums. We understand that you are interested in transferring content and purchases from one Microsoft account to another. Unfortunately, there is no way to transfer content or saved data from one account to another.
The best way to share content from one account to another is to utilize the home console sharing feature
on the Xbox One. We hope this helps!

Content cannot be transferred from one profile to another.

But data ie, game saves and DLC can be transferred from one HDD to another via a data transfer cable, but will only work under the profile that it was downloaded into.

I`ve got to agree with Davemcfly85 on this one, there is no way to transfer your save data and achievements to another xbox profile, Sorry ^_^

unfortunately there is no way to transfer data from one Xbox account to another.