@takashichea: Watch these if you have the time. They mention some of the series that you are missing the trailers for:
I look all over the place for DokiDoki! Precure using the Kanji, Romaji, and whatever keywords. I think there's no trailer. Same goes for Beast Saga.
To Acura Max and Shels:
Right now, I'm updating the table to include all summaries for the winter anime 2013 shows because we're sending the article to @sora_thekey.
@takashichea: I got the Winter Trailer 2013: Courtesy of Zettai Karen Children thread up. I had to shorten the title for the thread because the name was too long though.
This Christmas themed romantic comedy does a fantastic job of juggling love stories and ultimately presents a modern Christmas classic.