_Der Spiegel_ for 19 Jan. 1981 has an informative article on "Lili Marleen", including four German parody stanzas and one GI one:
Down by the bahnhoff,
American soldat
Zie haben cigaretten
and a beaucoup chocolat.
Das is prima, das ist gut
A zwanzig Mark for fumph minute.
Vie fiehl, Lili Marleen?
Vie fiehl, Lili Marleen?