Almost all anime created by Yoshitoshi Abe is what most people would define as 2DEEP4U, and yes that includes certain of the scenes from the Digimon Tamers series he directed. Serial Experiments Lain is Cyberpunk crossed with religious philosophy, Haibane Renmai is a Mystery alternative world fantasy crossed with religious philosophy and Texhnolyze, a Post-Apocalypse Science Fiction crossed with religious philosophy… I’m beginning to see a trend here.
Most of the anime directed by Satoshi Kon would be considering 2DEEP4U by the anime community but this can be expected of a director who specializes in the Psycho-Thriller genre, in particular the Paranoia Agent series which the ending is as odd and ambiguous as the ending to the film Perfect Blue. Not only are his Psycho-Thrillers mind-fucks but films like Paprika also have the edge of the strange about it, dealing with messed up dreams before the conception of inception.
Anime like Welcome to the NHK shares the same 2DEEP4U/real world style that has been compared to Catcher in the Rye, but it follows the social style of magical realism which we can also see how this is done though deluded characters in the series Penguin Drum. The realism and philosophy can also be seen in the deeper meaning that can be found in every episode of Kino’s Journey. Although Ghost Hound is produced by Production I.G, creators of Angels Egg & Ghost in the Shell which are arguably 2DEEP4U, especially GitS’s 2nd film Innocence, but it has the same screenwriters as Serial Experiments Lain. I would say it falls under a similar ambiguity as the 2DEEP4U ending of Wolf’s Rain and don’t forget the poster child of the 2DEEP4U meme Neon Genesis Evangelion. Though I would argue Akira did this first, the Eva trend was followed by ambiguously confusing scifi such as Rahxephon and Ergo Proxy.