Quote: "Gwyde"The 100 million to 1 Billion range is quite easy: you find some in all major European countries, especially shortly after introducing a new currency: new French franc, (West-)German Mark. The UK new decimal penny and 2 pence...(in 1971 even in excess of a billion) or after a new base metal coin replaced a former silver.
The 10 million to 100 million range is also quite easy, for similar reasons...

Russian Soviet Federative Socialist Republic
10 kopek 1923 - mintage 33,424,000
15 kopek 1923 - mintage 28,504,000
20 kopek 1923 - mintage 27,580,000
I have coins with mintages down to five digits, but I'm not sure how many I have actual pics for.
If we make it all the way to 1-10, how about continuing by powers of 9? Then 8, 7, 6, and ultimately all the way down to 2 (i.e. starting with 8,589,934,592 to 17,179,869,184 and going down to 1-2).
Alternately, we can try to work down by a combination of starting digits and number of zeroes (40 to 30 million...), but I don't think there's any coin with a mintage between 9 and 10 billion, unfortunately.