The only thing I can think of that comes close is the
Ayanami Raising Project with Asuka Complete Project for the PS2. I first brought it thinking it would be the absolute shit, so I was somewhat disappointed that it wasn't.
For instance, in some ways, the interactivity reminds me of the GoS1 and 2 games, although you're not just reduced to the commands of "talk", "look" and "think", especially considering you're an original-character made for the game. (What really sucks but is good in some respects is the Angel battles are pre-programmed to happen a certain way. For instance, Rei's battle with the 16th results in Asuka SAVING Rei 2!)
I was hoping that despite this, the would more of a chance at seeing romantic scenes between S/A or even S/R, but that isn't really the case. :( Any romantic type scenes are mostly reduced to the player and the Evagirl you're raising, although in the Rei version of the game you fight for Rei's affections between yourself, Shinji and *shudders* Gendo supposedly.
The Asuka version has you fight between yourself, Shinji and Kaji. And yes, there supposedly IS an Asuka gets Kaji ending, though I've yet to obtain it.
Despite this, I am overall happy with this purchase; it's a cute little detour and even has some of that Classic Eva Angstyness towards the game's end.
PS2 Evangelions 2, here I come! (I hope to buy it or get it for Christmas. ^^; )
In some ways, I guess my purchase of the
First Volume of Sadamoto's manga left me VERY disappointed, but that's because I didn't except Shinji would be such a different character, and so soon.
In terms of what other Eva goods I personally own, not much.
A few figures here and there that my Stepbrother brought me:
~a Limited Edtion San Diego Comic Con Racing Queen Ayanami
~Episode 26 "Take care of yourself" Asuka & Rei GoS2 school uniform figures
~the XX Angels (Lilith, the 3rd and the 14th) minus Tabiris
~Japanese Die Sterne Artbook
~3 Eva Celeb Party time figures: Maya in a costume...thing with mask, Rei in a gown...thing and Asuka in a seemingly inappropriate for the party it is Chinese Dress
~Volumes 1, 2, 3, 4, and 6 of Platinum (I'll get the others at some point! @_@)
~all 6 Volumes of the "Angelic Days" manga.

Stuff I purchased myself:
~Some Gasapon figures of Misato in her NERV outfit, Shinji with Pen^2, Asuka and Rei in their Episode 09 Swimsuits
~Domestic Release of the Refrain of Evangelion CD
~Black NERV T-shirt
~Bootleg CD of Evangelion: Addition
I also (illegally obtained *ahem*) and played both GoS games which are, again "cute" diversions but can't beat the series itself.
I know this isn't a lot, seeing as most anime fans(??) have at least 5 times more goods than what I listed. ^^; (Even my Sailormoon collection of Goods is on the small side, same with my overall Anime and Manga Collection.)