Does anyone know if there are LLM programs designed for teaching besides Yale?

It's not an llm, but the SPILS Program at Stanford follows the same purpose.

Temple has LLM for teaching

georgetown has a future law professors fellowship..(not for foreign lawyers though)

Thank you! If any of you know any others please let me know!

All LLM's can be used as a stepping stone for Law teaching. The only difference is that Yale only admits those who want to teach, so your peer group is different.

In term of how it works its pretty much like the other law schools . the difference being that there is far more flexibility about designing courses and taking independent study and in most cases you can opt out of taking an exam and do a paper instead.