dragoner
KosmicRPG.com
Dang, we voted EXACTLY alike.
EPT for the reasons others have said, great setting, so rich would be great for 5e. Not sure if the rights can be had from MAR (Phil) Barker's peeps.
G-Dub ditto on mutants. And post apoc goodness. I'd probably fold in some Apocalypse World GM principles like "barf forth apocalyptica"
Alternity is a game I never played, but as an OG Traveller lover, I'm a sucker for SF/Space Opera with ALIENS as PCs.
Pretty much all of those too, EPT is it's own setting, great depth, and expertly done fantasy/sci-fi that isn't pseudo medieval Tolkien.
G-dub also gave weapons so that a fighter could deal real damage, similar to a magic user; good for making a dying earth, wizards, andre norton mix too.
I'm a old school Traveller player too, and alternity had a lot going for it, spacecraft were cool, and star system generation was good, istr.