Aurora. Full stop. It's the best 4X I've ever played, no question whatsoever. Link to the thread's in my sig, and it probably speaks for itself, but in summary: Deep, deep, deep. Also, the best ship design I've ever seen coupled with a strong dual focus on logistics and combat. Here are a few screenshots, some from my new campaign to give an example of the general look of the game, and some clipped from older bits of AAR.
What isn't shown is that it has a UI made of barbed wire and the learning curve of a wall. (UI doesn't seem bad in screens because you havn't had to navigate them)
So pick Aurora up only if you have no qualms over needing to be hand held for half the entire game.
If you don't have any problems with that then you may have a lot of fun with Aurora.
Aurora is a lot like Simon the Sorcerer... It gets good reviews but I just know it is only from people who havn't actually gotten far in the game, used a guide, or struggled with it for months and forgot what a pain it was to do so. Since any review seems to glance over the underlying issues, because those issues are just so prevelent that if you disliked them even a TINY bit you would hate the game or they played it for so long they cannot even see the issues anymore because they have no issues anymore.
(and to counter the arguement I am going to get: Dwarf Fortress is a lot more intuitive, in fact I was able to play it competently the very first few times I played it was just that the goblin invasions would kill me, I read guides to play better, not just to play)
Eador: Genesis
It is fun, the issue is that it kinda gets really repetative and more so then the usual 4x affair. Still solid and you can get it for cheep so why not.
If the part you really dislike about 4x is how much you feel like you are doing the same thing over and over again. Then Eador won't please you. If you could care less then it may be a pretty solid game.
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Thus as follows
Aurora: Use a guide and be happy
Eador: Enjoy doing the same thing over and over again and be happy.
Neonivek: mean and bitter and peaved and looking at all videogames with burning red eyes