Hmm... Well, I say the site should just be called ZFGC. Forget dropping Zelda or changing the name. I like ZFGC just fine but if you want to move away from Zelda, that's fine, just leave the name as ZFGC.
That website layout looks alright but it could look more professional. I like how it looks a bit similar to Zentendo and I like their layout a lot. I say use a smaller advertisement and place it in a certain spot after you have everything setup. I would prefer the normal navigation to the left of the layout than what you have there but that's just me. I'm sure if you could move the advert. somewhere else, you could move the POTW and Recent Posts over to the right. I dunno, it's your plan but I'm just giving some suggestions. I think adding different elements into it to give it some sort of charm would help I guess to make it appeal. I know you can't make the layout stand out like Zelda Dungeon and Zelda Universe (again, back to Zelda for a moment) or any other site that has a flashy layout like theirs but you could come up with something. Also, I'm sure some of us members would like to help out with designs or whatever for the main website if you want.
The banner could use a redesign for sure unless it's just a placeholder. I know adding Link would defeat the purpose of the whole moving away from Zelda but I think you should add characters from the more popular fan games on the forum like The Shadowgazer and Twinsen. Get character art of the main characters and have them in the banner other than just Link.
I'm sure you probably know this but I know some sites have many different features which appeal to different members and visitors. Different profiles for the popular fan games would be a start. I know the fan games have their own topic but with a profile or it's own game page on the site, it would be more organized and you can make it look nicer than a forum topic post. Image Galleries, an Affiliates list (I mentioned something about this a long time ago), etc. I remember Zelda Legacy had this feature where you could put up your own articles on things like theories, facts, stuff like that. Can't remember what they called it but that would be something. Well, there's so many unique things you can come up with but it's hard to come up with a good one.
That's all I can say right now. If I can think of anything else, I'll post them up.