This could work: https://www.amazon.com/Nite-Ize-Sideways-Phone-Holster/dp/B00F36YKFC
Product Dimensions 6.2 x 1.6 x 3.6 inches.
Also : https://www.amazon.com/dp/B00GOZOGL4/ref=psdc_2407765011_t2_B00F36YKFC and
https://www.amazon.com/dp/B07V7FHNHS/ref=sspa_dk_detail_1?psc=1&pd_rd_i=B07V7FHNHS&pd_rd_w=58OIr&pf_rd_p=45a72588-80f7-4414-9851-786f6c16d42b&pd_rd_wg=F6YZE&pf_rd_r=GPT3Y9FTE4JJZP4HDSC4&pd_rd_r=05f6a512-e6d5-4300-887e-2178fcb664d1&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUFOM0JJMlVKME9MRk4mZW5jcnlwdGVkSWQ9QTA0MDM3MTYxSVpNRTVBQTFIVVM1JmVuY3J5cHRlZEFkSWQ9QTAwODUzNzUxWEw5R1RVUERRTkdEJndpZGdldE5hbWU9c3BfZGV0YWlsJmFjdGlvbj1jbGlja1JlZGlyZWN0JmRvTm90TG9nQ2xpY2s9dHJ1ZQ==
Product Dimensions 6.7 x 3.8 x 1 inches
There is always the huge to go to as well:
https://www.amazon.com/dp/B07KMVN6J4/ref=sspa_dk_detail_1?psc=1&pd_rd_i=B07KMVN6J4&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUExQ1VSMlo3TzVZM01OJmVuY3J5cHRlZElkPUExMDAxNzgyMkE3MERQTjJKWlhRVCZlbmNyeXB0ZWRBZElkPUEwNTkyNzk0NFA2NU9FWE9MOU9CJndpZGdldE5hbWU9c3BfZGV0YWlsJmFjdGlvbj1jbGlja1JlZGlyZWN0JmRvTm90TG9nQ2xpY2s9dHJ1ZQ==
5.7 x 1 x 8 inches and some similar on the same page.
None are custom, though many can work, particularly the Nite-Ize, which I have used for my Gemini phone.
See my reply to amosbatto
Just FYI: Today I made contact with a German company that is willing to produce and sell a screen protector for the Librem 5. At least for European customers, this should be a good option.
My interest in this was to find a company in my country of origin that has a good reputation and from which I already ordered a screen protector before (to my satisfaction). Next step is to get all necessary dimensions to construct a tailored screen protector for the Librem 5. But don’t expect the screen protector to be available soon - it will be sold only after validation with a real Librem 5… 
I will report back as soon as there’s progress on this topic.
Would love to see Premyo producing it
I actually found a small vendor a couple of moths ago. Longer story short, it’s still a 5-digit venture (making molds etc.) to do small batches, so some hundreds of cases would need to be sold and small companies can’t take even 4 or 3 digit risks. As L5 is still a bit iffy in their eyes, no trust. Maybe next year… But if then there are more interested parties, it may not be profitable to anyone - too risky. Kickstarter pre-order thing might work, but event that would need someone to spend time on it.
Looks like hackersgame already has a screenprotector for the L5. Please see e.g. at sec 45 in https://www.youtube.com/watch?v=j_PzGz8dePY or at the beginning of
https://youtu.be/isEir7BodEs
@HackersGame can you please comment on this; whats the extra thickness?
Both the birch and chestnut came per-installed with a screenprotector.
I made a mistake and removed the tab on the outside of the screenprotector, thinking, look a free screenprotector. Which left the outside a bit messed up.
After weeks of using the phone like this. I really wanted to get a clean shot and removed the damaged screenprotector. To my supersize, I found a clean beautiful screen protector underneath.
So, at the end of the day, read the blue tab that says remove and remove it. 
so there’s a hidden level of transparency behind the first transparent level ? why didn’t you say it like that the first time ? 
I just thought of this thread and realized this video hasn’t been posted. Injection molded cases can be done at home (the mold is potentially expensive though):
Non-Google/Youtube link: https://web.archive.org/web/20190629183811/https://www.youtube.com/watch?v=ZYFoWP-3MYE
Does this mean that Purism will be selling cases? If so, that’s when I’ll order a Librem 5. I’m not spending $800 on a device without a sturdy case.
I really don’t think so, at least not in the short term. The best option is probably to get one custom made at a 3D print shop, of which there are many online if you don’t have one locally. I think I made suggestions above or in this thread, which also has some fabrication ideas by other users.
What about Purism partnership with them?
You could send Purism an email and ask them.
Yeah, no… I’m gonna need something more like this:
Amarok 
is that the robo-prostetic that kicks the Alien’s butt ? is it open-hardware ?
Probably. Power Loader.
Pacific Rim franchise FTW though. Makes the ones in Aliens look positively weedy.
Maybe soon in real life? https://exoskeletonreport.com/2015/10/panasonic-activelink-company-profile/
How did we get here? How about a case for the L5 then?