Thank you for your answer.
EULA, read the licences etc. accepted,
logged in
and databases are not for-purchase but free (at least written on the top of the list).
By clicking Download, the browser shows the message 'wait for nexus.openlca.org' for a few seconds in the bottom line, and then... nothing.
Today I had 'luck', and one more download worked (ecoinvent_38_LICA-methods), but this was just after a few trials and the only one which worked. 'OpenLCA LCIA methods' and others still causes problems