A few thoughts from the peanut gallery.
Although you didn't ask for good things, I'd like to name a few:
(1) The game's good. If it weren't, everything else would be moot.
(2) ADB itself. I've had good customer support when I've needed it. I also appreciate that the game's designer is so accessible.
(3) Community. The community here on the forums has been really warm and welcoming to me and helpful with questions.
A few other observations, some if not all of them doubtlessly naive and unattainable, all idiosyncratic.
(1) Web site. The FC-specific Web site is pretty good. It's functional and seems designed pretty well. That said ...
(a) Priorities. To me, FC almost gets squeezed on its own home page by other related products (SFBF, PD). I realize these are related products, that someone looking up FC is disproportionately likely to be interested in the other two, but a first-time visitor might wonder whether all these products are part of the FC line (not really) or required for FC play (no).
(b) Forum. The forum interface is pretty standard, which is a good thing. Works really well, feels stable, and all that. It'd always be good to get more people over here and posting. You've got about 200 registered members but fewer than half have ever posted. I'm listed as your #29 poster in terms of number of posts with just 9 posts. Posting this message will rocket me to #28.
(c) Product List. I can't quite decide, but it might make more sense to group related products together when possible (i.e., the set with the associated boosters, minis, and border box). I find it a tad odd that I have to click on a link to "tell me more" about any of these; I sort of expect that a product list is going to tell me already.
(d) FAQs. The paragraph spacing on the FAQs page is inconsistent, and fixing it would make the page look better.
(e) Store. The store seems to work pretty well, though I think I've yet to put an order through. The individual products are a bit deeply "nested" for my taste (e.g., I have to go to FC, then Starter Sets, then 4001 to see Klingon Border's product description), but that may just be me.
(f) Commander's Circle. I'm sure there's a good reason for this, but I'm not sure why I have to go offsite for CC.
(g) Blog. Maybe a more prominent link for the blog is needed. I finally had to ask someone where it was. That could just be me.
(h) First Missions. Any reason not to promote First Missions on this site? If there's a link here, I haven't come across it.
(2) Two sites? Is dividing the FC discussion between this and the legacy site a good idea? Seems like it should all be in one place. Perhaps that's the plan?
(3) Minis. I agree with terryoc's suggestion of a broader marketing push for the minis apart from the game. Lots of people pick up Star Wars minis who have no intention of playing the minis game.
(4) SFB (FC) Online. An online presence is a good idea, especially as, right now, this is a fairly new game and one that's complex enough to sometimes make it hard to find face-to-face opponents. The demo account is a good way to get people to check things out. Still ...
(a) Player list. I think we're sort of getting there by the back door, but it'd be a good idea to have a thread in the FC Online section of the forums as a player list. (I'm on there, though not really a player yet.)
(b) Critical mass. Related to (a), it seems like for FC-only players to pony up money, there's going to have to be a critical mass of players. If I were someone thinking about paying up to $40/year for the service, I'd want to know that there's a better-than-average chance of finding an FC game on a night or weekend. There's a lot of competition for gamers' time, and many free gaming options (e.g., BSW, VASSAL) as well.
(5) Rules. The rules work. The specific rule I'm looking for is pretty easy to find. The rules are indexed, which is essential. A few things to consider, though.
(a) Graphics/layout. The book could probably be a bit more visual even if it added to the length. While I'm not suggesting an overproduced, full-color, glossy, 80-page manual like for BattleLore, it probably wouldn't hurt to have more graphical elements. I think potential new users looking at a 60-page book of nearly all text might feel intimidated, especially if they've heard how "hard" SFB (and presumably FC) is. Adding a little length to the book via some more illustrations and visual examples seems like a decent tradeoff to me.
(b) Example of play. I Know this is free online, but I think having an example of play in the rulebook itself might help people see how the rules flow together (and get them excited about playing).
(6) Plastic. More and more games are replacing cardboard bits with plastic ones. I know FC/SFB have a robust pewter minis line, but not everyone wants to buy, assemble, and paint them. There are probably all kinds of reasons not to have plastic bits, but plastic ones would have a bit more mass appeal.