Once Yoshida Reiko left the Tokyo Mew Mew project, Ikumi Mia tried to write a sequel incorporating the retcons made in the TV show and replacing Ichigo with a new character named Berii. Ichigo herself lost her powers except as a living accessory to the new heroine, her origins and family life were completely ignored in favor of sending her to Europe, and she became a washed-up hero. It's no surprise Tokyo Mew Mew a la mode has a high degree of Fanon Discontinuity amongst fans who also really dislike Berii. Berii herself has been Mis-blamed, though; the real blame lies in the publishers, who, among other things, restricted the series to just two volumes when commissioning the sequel.
A sizeable portion of the fanbase felt that Bleach went into a Dork Age with the Fullbringer Arc. The arc focused on new characters with totally new powers instead of the established characters and featured a plot that seemed almost completely unrelated to any part of the Myth Arc. To be fair, with Ichigo depowered and Aizen alive but imprisoned, there weren't many plot threads that could be carried over directly from the previous arc and at least nothing involved Aizen.
There are also fans who consider the four year long Arrancar Arc a Dork Age. In general, the writing became a lot more divisive after the Soul Society arc, and the series' sales and ratings dropped to the point where the anime was cancelled as soon as the Fullbringer Arc wrapped up.
Anime and Manga in general in The New Tens seems to have hit this for a lot of Western fans. While Moe series are fairly popular in the West, they have a loud and vocal Hatedom who sees them as nothing more than Otaku pandering. Of course, Moe is EXTREMELY popular among Japanese otaku, who buy most of the figures, DVDs and such. As a result, series that focus on four highschool girls (popularized by the works of Kyo Ani, especially K-On!) have overtaken the airwaves, while more unique series are becoming rarer and rarer.
Some renowned studios have also taken big hits. Even Gainax has lost some key creators like HiroyukiImaishi and Hideaki Anno, who have formed their own studios. As a result, Gainax seems to have decayed from producing acclaimed original series to mediocre adaptations of Shōnen manga such as Medaka Box. Worse still is that the venerable Studio Ghibli may be edging close to a shutting its doors, although a shut down was at least delayed by the modest success of The Borrower Arrietty.
Artistic titles aimed at reviving anime have also suffered as Fractale, Aku no Hana and Shin Sekai Yori sold poorly in BD sales which in the former's case led to Yamakan's retirement.
2011 on the other hand was seen as something of a Renaissance in terms of anime, not to mention being the best year since the previous high point of 2007. During this year, multiple shows such as Puella Magi Madoka Magica, Tiger & Bunny, Steins;Gate, Usagi Drop, Ano Hana, Mawaru-Penguindrum, The iDOLM@STER, and Fate/Zero were all widely acclaimed by many anime fans in both Japan and the West. 2012 also marked another solid year for anime, notable for the continued growth of digitization and new media use in the industry, to say nothing of the revival of Toonami. The Dork Age might be finally ending, but only time will tell.
While still held in extremely high regard by the western anime/manga community for its incredibly masterful art and nuanced characterization, some fans feel that Berserk has entered a bit of a Dork Age in comparison to the Golden Age arc since Guts' new companions have joined (especially Schierke), introducing things like elemental powers and more slapstick between Evarella and Puck, which have somewhat softened what is still an incredibly grim and violent story. In addition, many fans aren't very fond of the first three volumes, which mainly consist of Guts being not very sympathetic as he ruthlessly and amorally hunts down apostles in an attempt at reaching the Godhand (Of course some will say otherwise, seeing Guts softening up being not as interesting). It's overall just not considered as strong as the rest of the series in terms of both character handling and art.
Saint Seiya hit the dorkiest of all ages with Saint Seiya Omega. It's not Kurumada canon, it changed the super-suit from metal armor to spandex, it added a superhero school, the eponymous character is rarely in the spotlight(!), and so on. It seems that the writers eventually understood why it was so hated, and gave it a second season that thoroughly reverted all changes.
On the other hand, this has caused a broken base, with people that liked the first season of Omega (including some fans who didn't like the original SS) being unhappy that they reverted things, and declaring season 2 a Dork Age.
Suite is also disliked for its characterization, as many feel that Hibiki and Kanade come across as flat copies of Nagisa and Honoka with a rather forced Vitriolic Best Buds angle that gets dropped so quickly you wonder why they added it in the first place.
Some fans also consider Smile Pretty Cure this (though it's slightly better regarded) due to its episodic, goofy nature (to the point that it feels more like a spoof of the genre), childish writing (and non-existent Myth Arc), and what many see as blatant pandering to the Moe crowd. Though subverted as it was alledgedly very financially successful (though mostly only with otaku).
It really says something when the most popular character is a villain, and not even the main one.
Light Novels are stated to be in a Dork Age, with the popularity of Ore Imo. The growing amount of generic Visual Novel-inspired stories with the same trappings as the genre, as well as overly-long titles, has made people view the Light Novel genre as a place where hentai artists can go to as an easy way to go pro.
The less said about the imouto genre, the better.
Many manga readers feel that the shoujo demographic is in this, as many, many new series are generic slice-of-life Kimi ni Todoke knockoffs. There's also the common accusation that most of them focus more on cliché romance scenes and less on trying to tell an actual story.