I used Ektamatics off & on for years in both newspaper darkrooms and portable darkrooms. The great thing about them, is you don't need any running water. Just electricity. You could set up a darkroom just about anywhere with one.
The processor used 2 chemicals, Activator and Stablizer. It was nasty, caustic crap--but the chem came in cubes or in ready to go quart bottles. You just screwed on feeder caps and inserted the bottles into the machine and were ready to go....
The thing was--you had to use a developer incorporated paper. Kodak made a paper called "Ektamatic SC" paper--that was a single weight, variable contrast, fiber based paper. It would be processed in about ten seconds in the machine. Came out damp, but stabilized for the short term. It would contaminate anything it touched though, but would eventually dry to a sorta slick feeling....eventually the prints would brown out in a couple of weeks, or would last for months even in the dark.
One thing I used to do was to make contacts and proofs and then at the end of the week--I'd gang process the prints in fixer, hypo clear and then wash them. They're pretty much like fiber paper if finished off this way. The paper had--I don't think it's available any more--a nice neutral, blue type tone to it. I also used kodabrome RC and Polycontrast III Rapid in it. With the RC--the d-max is not as good as a tray process print or one in a conventional processor. you just quick processed in the machine, then go to white light and fix & wash like RC paper.
Ektaflex used a transfer type process where you made the image on one material, and then transfered it over to a receiver type material using the processor. There were different combinations of imager and receiver--so you could work with slides or negatives, and get prints or backlit transparencies. They were discontinued back in the late 80s, early 90s.
Ektamatic processors and material lasted much longer. It was only a year or two ago when they finally bit the dust. Some other manufacturers supported them as well--Ilford even had a paper and chemistry at one time that was similar, same goes for Agfa. In the US, Domac was a company that made knockoff versions of these. The Kodak machine was built like a tank though.
If you look hard enough--you may be able to dig up the materials and chemistry for both these machines....be forewarned about the Activator & Stabilizer though. Handle with care, and if you dump them down the drain, use alot of water in between.
fwiw--the kodak royalprint processor uses activator, even though the rest of the machine is more like a conventional b/w rc processor.
btw--I can smell it now as I write this. It had a distinctive "darkroom" odor, that you will never forget if you ever use one...
Hope this helps.