First, what about a button/link near the "jump to your next playable game" that says "snap and jump to next playable game." If nothing else it would be a nice reminder (I snap almost by habit now, but still). But it would also save me a click when jumping btwn games
Second, I've noticed a problem when a territory bombards a territory that can attack it. I know that there's no way to make that distinct given the current 4-sided square, but perhaps there should be a different indicator. Maybe half-lines or something. So if a territ can be bombarded by another territ and there's a two way border, you'd see a solid line across the top, the bottom half of the left and right lines and a solid line across the bottom. The other territ be the same with the half lines on the left and right coming down from the top of the square.
If territ A can bombard territ B and territ B can one way attack territ A, it would be harder. Perhaps a mouse over on territ A would yield a whole square on territ B except it would only have the top half of the right side. Mousever on B would show everything but the top half of the left side on territ A.