The first point I'd like to make is that you've got a lot of different things going on. I'll give you my thoughts but I wouldn't take this advice to the bank because there may be multiple factors.
September 28 was EMD, but you don't have an EMD. An EMD would be if you had a very poor domain that was ONLY ranking because it was called zombiegames.com. You were not affected by EMD. When EMD hit I asked people to send me domains that were affected. Most of them had Panda issues. It turns out that Google sneakily refreshed the Panda algorithm on Sept 27. It was a big one too...I've seen a lot of sites that were severely affected by that Panda refresh.
There was no major algo change June 1. It's not Penguin unless it happened directly on May 25 which was a Penguin refresh date. Penguin didn't cause a gradual drop. There was no algo change Aug 30 or December 24. You mentioned you redesigned your website. If you didn't put url redirects in place properly then this could cause issues. Or if you changed your title tags.
Regarding anchor text, I'm talking about the links pointing to your site. For example, the link pointing from this site to yours is anchored with "zombie games": http://www.pokerunderworld.com/. And this one: http://www.tantraonline.ph/forum/showthread.php?8465-Forsaken-Guild-of-Shiva/page2
If your drop wasn't on a Penguin day then I wouldn't go removing links though.
The issue is most likely to be one of quality (which would fit with Panda). Look at your site through Google's eyes. When the crawl the home page, what are they going to see? They can't decipher images and you've got no text. And all of your inner pages are very thin...just 1-2 lines of text.
