Im from Denmark, where the maps we can get from official hand is in UTM32-EUREF89 shapefile format. When these are applied on top of either google/oracle/bing they seem to be like 20-25 km of towards the south or the y-axis if you prefer. Im using QGIS 2.6.1 and have tried converting the maps to 3857 and 4326 but that does nothing. I seem to be doing something wrong. Can anybody maybe give me a hint, as to where I should look.