Hello, from almost 5 years late! :D
I just recently got into GMing a Starfinder campaign this year and I am still learning a lot.
Thanks for making this list!
UIE stands for United Interfaith Engineering. It is "the newest of the major shirren starship manufacturers."
You mentioned that you were making a spreadsheet. I'm wondering if you have also collected information about what kinds of companies these are or where they are located?
I would be happy to create or add to a reference, if that's not something you are interested or can do right now, but I just wanted to make sure the work hadn't already been done by the wonderful you, who had thought to make this list!