Assume there is a big Git repo Orig under an active development and with a long history. That repository has some big files too but does not use the git-lfs. I don't control that repo, particularly I can't migrate it to the git-lfs.
I'd like to create a fork repository (Fork) with the following properties:
- I can easily merge changes from the 
Origdevelopment into the correspondingForkbranches and in my custom branches based on those branches (cherry-picking each change doesn't count as "easily"). - I can easily create pull requests to the 
Origrepo with some of my changes in theFork(less important than #1 but nice to have) - I want to have the history of the 
Forkmuch reduced in terms of the depth (smaller clone) - I want to have the history of the 
Forkmuch reduced in terms of big files because I want to host myForkon the GitHub. This is an issue becausegit-lfs migraterewrites the history. 
Accidentally just solving #3 will probably fix #4 because there are just a few really big files that would require git-lfs and they all are not in the part of the history I really want to keep in my Fork.
Achieving just #4 without #3 (but still getting #1 and #2) is acceptable because #4 is really a blocker while #3 is only nice-to-have.
Things I don't really need:
- I don't need to keep all the 
Orighistorical branches in myFork. I really need themaster. A few recent feature branches as well would be really nice. - It is acceptable for the initial setup to be complicated and time-consuming as long as the main workflow after that works smoothly.
 
Some obvious things that I believe do not work:
- Do 
git-lfs migrateto fix #4 and push it to the GitHub. This seems to break #1 and #2 since it creates a totally new history with no connection to the original one so I can not easily merge new changes from theOrigtoFork. - Create a shallow copy and push it as a new repository to the GitHub. This fixes #4 and probably #3 but again breaks #1 and #2.
 
I suspect there is no good solution to this problem with how git hashes work. At least Partial repository mirror of git repositories and Git mirror of non-LFS repo to LFS-repo do not look really promising. But I still have a hope it can be done with some git-magic (or that somehow the things have changed over the last few years).