Germany's short-lived 25-pfennig? Any one know?
Not sure why it was introduced at all. It did not really replace the previous 20 Pfennig coin (that one was last made in 1892). According to the Jaeger catalog the 25 pf piece had been much criticized even before it was designed and issued. People did not use it, and the catalog quotes from a report dated 1911 which said that the coins were hardly popular and kept coming back to the banks. Consequence: Public banks should use them as much as possible.

Except that even that did not help - the "quarter", first issued in 1909, was last made in 1912.
The 20 Pfennig coin from the GDR was first issued in 1969, by the way, and in use until mid-1991. And in 2002 the 20 cent coin became legal tender of course.
The Netherlands heavily relied on "quarters", but at least

at all levels so to say: They had a 2 1/2 cent coin until the 1940s, plus (until the end of the NLG years) 25 cent coins, 2 1/2 gulden coins, 25 gulden notes and (short-lived) 250 gulden notes. Takes a while to get used to if you're used to 2, 20, etc. ...
Christian