I only ship a few parcels to other EU countries – is there a de-minimis threshold?

In short

EU-wide: no – the Packaging Regulation has no de-minimis threshold; even a single delivery triggers the obligations in the destination country. Nationally, though, there is real relief: Austria has a flat-rate fee below 1,500 kg/year, in the Netherlands the 50,000 kg threshold for the Verpact contribution remains in place (SUP reporting still applies from the first kilo), Czechia even exempts the smallest volumes under 300 kg/year (combined with a turnover cap of max. 25 million CZK, Section 15a of the Packaging Act) from the packaging obligations including registration entirely, and Denmark allows a simplified declaration below 8 t/year (not an exemption). Don't rely on blanket statements – the rules differ per country.