Square Enix might be planning an entire series for a new Final Fantasy spin-off.
At the end of 2010, Square Enix was caught trademarking something called Final Fantasy Type-0 along with a painted image of the title in Japanese kanji. Whatever Type-0 is, it could become a series, as Square Enix has now registered the images for Type-1, Type-2, and Type-3.
The Final Fantasy name doesn't appear to be associated with the images this time, but they were registered by Square Enix and are a natural progression from the previous trademark of Final Fantasy Type-0. The images are similar to Type-0's in that they are Japanese kanji with English below.
What's different is that Type-1, Type-2, and Type-3's images aren't hand painted and have a more rigid look instead. They were filed in Europe on January 13, 2011.
We can only guess at what the trademarks of Type-0, Type-1, Type-2, and Type-3 are for, but with the addition of three more they certainly point to a possible new spin-off and its sequels. Final Fantasy is due for some new entries outside of the main series anyway, with Dissidia 012 the only upcoming spin-off aside from the previously mentioned XIII extensions.
Square Enix is holding an event on January 18 called the 1st Production Department Premiere, though the exact purpose of the event is unknown. It's thought that the company will be talking about Final Fantasy Versus XIII, Final Fantasy Agito XIII, or even announcing Final Fantasy XIII-2. The timing of these "Type" trademarks suggests that Square Enix is also preparing an announcement for whatever they refer to, so we could learn something new at the event.