My original message got eaten up, and since I decided to use Chrome for just a few minutes I lost my post because I don't have Lazarus here. Had to retype it from scratch. If there's anything here that doesn't have an explanation after, it just means I was too lazy to retype one for the show, doesn't mean I don't have anything good to say about it.
Original series:
Mononoke (not the same as Princess Mononoke)
Very unique series with a very nice art style. It's actually a spinoff based on the last arc of Ayakashi, but it's good on its own. If you want, you can watch the last 4 episodes of Ayakashi as a start. Ayakashi isn't one connected story, so starting from the last 4 episodes will just give you the Mononoke part of the story.
It's really one of my favorite series.
Kaiba
Trapeze
Very trippy anime with a very unique style. Mixes live action with anime with...colors and patterns everywhere. If you liked Mononoke you'll probably like this too.
Based strongly on your list:
Darker Than Black
Batman.
Paranoia Agent
Relating this to Eva and Lain.
Serial Experiments Lain
[url=]Gunbuster[/url] and Diebuster
Gunbuster is one of GAINAX's older works (older than Eva). It starts off pretty slow, but it's only 6 episodes. Because it's so old, some of the themes in it seem pretty overused by today's standards. Diebuster is a sequel to Gunbuster that was in 2004 (you can tell the huge difference in animation between the sequel and prequel). It's actually semi-tied to FLCL's universe. It's actually the complete opposite of Gunbuster's theme. While Gunbuster was all about staying realistic, Diebuster takes on the "kick logic to the curb" mentality that GAINAX used later for Gurren Lagann as well.
Both of them are 6 episodes, so basically the first 6 episodes may be slow for you but are worth it on the second half, when you see Diebuster. Even if they're not that closely connected, I advise against skipping Gunbuster and moving straight into Diebuster. I feel Gurren Lagann was kind of like a spiritual successor to Diebuster. There are also Diebuster references in Gurren Lagann.
Ga Rei -Zero-
Ghost in the Shell Stand Alone Complex
As said before, I'm surprised this isn't on your list.
Trigun
Bit surprised this isn't there either.
Ergo Proxy
Planetes
Hell, actually... Pretty much everything Dyx and Madan said...
Denpa teki na Kanojo
Reminds me of Higurashi (especially the first episode...). It's an OVA series that only has 2 episodes so far. Each one is about 45 minutes.
Comedy:
I noticed you're more into action than comedy, but felt like recommending a few for you.
Cromartie High School
The manly version of Lucky Star. Seriously.
Detroit Metal City
Welcome to the NHK!
Not full blown comedy. There's a really good story in this. It's not particularly based on your list, but felt like including it as a suggestion for you. It's another one of my personal favorites, but that may just be because of how much I relate to it.
-------------------------------------------
Also, I felt like posting some continuations of some series on your list, in case you haven't seen them.
Eva - There are actually quite a few movies to Eva. I recommend watching The End of Evangelion and Evangelion: 1.0 You Are [Not] Alone
Dokuro - There was a Dokuro 2 made. I think it was only 2 more episodes or something.
Higurashi no Naku koro ni - There were 5 episodes released after, Higurashi no Naku Koro ni Rei. It starts off with just a fanservice episode, but gets more into the story in the 2nd or 3rd episode.
Tengen Toppa Gurren Lagann - Movie was released for it. The second movie comes out soon on DVD in Japan. It's basically a recap, like what GAINAX did for the Eva movies, but with new parts added in and a completely different ending.
Original series:
Mononoke (not the same as Princess Mononoke)
Very unique series with a very nice art style. It's actually a spinoff based on the last arc of Ayakashi, but it's good on its own. If you want, you can watch the last 4 episodes of Ayakashi as a start. Ayakashi isn't one connected story, so starting from the last 4 episodes will just give you the Mononoke part of the story.
It's really one of my favorite series.
Kaiba
Trapeze
Very trippy anime with a very unique style. Mixes live action with anime with...colors and patterns everywhere. If you liked Mononoke you'll probably like this too.
Based strongly on your list:
Darker Than Black
Batman.
Paranoia Agent
Relating this to Eva and Lain.
Serial Experiments Lain
[url=]Gunbuster[/url] and Diebuster
Gunbuster is one of GAINAX's older works (older than Eva). It starts off pretty slow, but it's only 6 episodes. Because it's so old, some of the themes in it seem pretty overused by today's standards. Diebuster is a sequel to Gunbuster that was in 2004 (you can tell the huge difference in animation between the sequel and prequel). It's actually semi-tied to FLCL's universe. It's actually the complete opposite of Gunbuster's theme. While Gunbuster was all about staying realistic, Diebuster takes on the "kick logic to the curb" mentality that GAINAX used later for Gurren Lagann as well.
Both of them are 6 episodes, so basically the first 6 episodes may be slow for you but are worth it on the second half, when you see Diebuster. Even if they're not that closely connected, I advise against skipping Gunbuster and moving straight into Diebuster. I feel Gurren Lagann was kind of like a spiritual successor to Diebuster. There are also Diebuster references in Gurren Lagann.
Ga Rei -Zero-
Ghost in the Shell Stand Alone Complex
As said before, I'm surprised this isn't on your list.
Trigun
Bit surprised this isn't there either.
Ergo Proxy
Planetes
Hell, actually... Pretty much everything Dyx and Madan said...
Denpa teki na Kanojo
Reminds me of Higurashi (especially the first episode...). It's an OVA series that only has 2 episodes so far. Each one is about 45 minutes.
Comedy:
I noticed you're more into action than comedy, but felt like recommending a few for you.
Cromartie High School
The manly version of Lucky Star. Seriously.
Detroit Metal City
Welcome to the NHK!
Not full blown comedy. There's a really good story in this. It's not particularly based on your list, but felt like including it as a suggestion for you. It's another one of my personal favorites, but that may just be because of how much I relate to it.
-------------------------------------------
Also, I felt like posting some continuations of some series on your list, in case you haven't seen them.
Eva - There are actually quite a few movies to Eva. I recommend watching The End of Evangelion and Evangelion: 1.0 You Are [Not] Alone
Dokuro - There was a Dokuro 2 made. I think it was only 2 more episodes or something.
Higurashi no Naku koro ni - There were 5 episodes released after, Higurashi no Naku Koro ni Rei. It starts off with just a fanservice episode, but gets more into the story in the 2nd or 3rd episode.
Tengen Toppa Gurren Lagann - Movie was released for it. The second movie comes out soon on DVD in Japan. It's basically a recap, like what GAINAX did for the Eva movies, but with new parts added in and a completely different ending.