What kind of exotic metals / alloys do you have for coins? The only exotic one that I have ever seen is clay, porcelain and fibreglass coins, well technically they aren't metal... Or I guess mine is platinum and palladium, but they aren't really THAT exotic... compared to the other rare metals out there.
Look at the bottom page <- Interesting clay and porcelain coins.
But yes, of course there are some coins that aren't struck in certain type of metals, such as nobium and titanium, although they both do exist
Here is an interesting list of metals ever used in coins, although it might be slightly outdated, it's highly interesting.
Metals used in coinage