I often take out money two or three times with manually input "other" amount, e.g. when 20 and 50 EUR notes are available, I ask for 80 each time to get 20s.

This works in other countries too, you can ask the ATM for suitable amounts that force the ATM to deal out some or all smaller bills, often something like e.g. 80, 180, 1800, 18000 etc, i.e. one small bill less than the too big bill amount.

Although I prefer to pay for everything with a card to get the almightly miles ;-) and to avoid carrying those super heavy coins around. The best thing about the US: The 1 dollar note. We want a 1 EUR note!