Just noticed a List over at BGG that lists games that could benefit from 5- and/or 7-sided dice (http://www.boardgamegeek.com/geeklist.php3?action=view&listid=6264) ...
And the author gives links to some examples of these oddly things:
5-sided: http://shop.rpg.net/product_info.php?products_id=35686
7-sided: http://shop.rpg.net/product_info.php?products_id=35373
Not exactly sure how that 7-sider is supposed to work, but hey ... ;-)
-Bryk
Nice site... more kinds of dice and counters than I've ever seen in my life. They've even got an electronic die for the lazy. Some of those things could inspire a game or two - weather dice? http://shop.rpg.net/product_info.php?products_id=35492&
I've also never seen place value dice before (a set of d10's with different labels: 1's, 10's, 100's, and 1000's), kind of elegant.
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I like using different sided dice to solve combats, giving higher dice to better warriors and vice versa.
I think it's pretty elegant (and very funny when, for example, a 4-sided die warrior beats a 20-sided die one in a roll)
So, those 5 and 7-sided (and 16, 30, etc) dice could be interesting to get more variety in quality of warriors.
Greetings,
Roberto