DUST 514 adds some of that. It's the FPS portion of EVE, but it falls flat in the actual gameplay department. I'd definitely recommend avoiding it for the foreseeable future. It's F2P on PS3, though so you might want to check it out.
Eh, Dust 514's gameplay was pretty bad for a good while but it's actually quite good now in my opinion. They've been doing monthly updates since last July and the game has made a lot of progress in that time span. The next update coming in Mid-February/Early March is probably going to be the biggest one yet.
Can't wait for the day Dust can get involved with stuff at this scale. If you were around for the early days of EVE you'd never guess it'd end up here, so there's hope that Dust will one day move past its role as a lobby shooter.
If anyone is interested in this sort of stuff but want a little more action, Dust 514 really is a good outlet. Like EVE where people are fighting in ships that are actually assets with a cost associated with it, in Dust 514 every suit, every gun, every bit of equipment, and so on is also an asset with a cost associated with it. Of course, this cost is an in-game currency, not real money, but since it is the same currency used in EVE, ISK, and in EVE you can use ISK to buy your subscription to the game, people have come up with ISK to USD conversion rates. Anyways, if you're tired of shooters where dying means nothing past your KDR and want a little more excitement and tension when engaging an enemy in a shoot-out, give Dust a try. It's free after all.
And if you use this link to make your character, you will receive some blueprint items, which are basically some low-tier items but you get an infinite amount of them, as well as a skill point booster. Shoot me a PM and I'll squad up with you in-game too if you want.