Hello,
Just want to mention that I’ve just published on GitHub an eclipse plug-in that builds Java desktop application projects into AppImage packages.
The project link is: https://github.com/brotenet/ide.export.appimage
At this point there is no Eclipse update-site for it available since this is part of a bigger project that I’m working on where I will be releasing an update-site once I’m done with all the plug-ins.
You can download the binary export using the link below -or- checkout the project source and build it in Eclipse RCP edition.
Download link: https://github.com/brotenet/ide.export.appimage/blob/master/readme_resources/ide.export.appimage_1.0.0.201805151429.jar
If you decide to try it then please let me know what you think, and if you found any bugs or things that I should be adding to it.
Cheers! 
Hi, thank you very much for letting us know about this exciting project. What is the most straightforward way to test it?
Hello Probono,
Have a look at the steps in the attached image.
Let me know if you need extra help with it.
Hello again Probono,
I have quickly build a small project to help with the testing.
Please follow the steps in the attached images using the project archive export provided on the following link:
https://github.com/brotenet/ide.export.appimage/blob/master/readme_resources/swt_appimage_test.tar.gz
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Importing the test project
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Running the test project
Please let me know if you need extra help with it.
Note: Have in mind that this is still in Alpha and I’m still finding and fixing bugs.
Hi again… 
Just fixed a major issue with the manifest file.
If you tested the plug-in and failed it’s because it was not generating the MANIFEST.MF file correctly.
I have updated all the links in my previous posts to reflect the new plug-in binary .jar as well as added the link for the test project
Very cool. Thank you @brotenet. This will certainly help to make more Java applications available as AppImages.