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Identified errors:
This is not correct for Romania: officially it’s Surname + Given-name, live in Hungary.
Not true for Greece, it’s just First-name + Surname. It just happens that some Surnames are derived from the father’s name (think “Anderson”).
In Spain of course your parents have 2 surnames too. So your first surname is your father's first surname, his 2nd surname is dropped ( first surname of his mother ) Your second surname is the first surname of your mother, her 2nd gets dropped too.
In the end always the name line of the females get dropped.
That's so shitty. In the Netherlands they've just started to allow 2 surnames. One of the best proposals I've heard is that you would take your father's father's name, and your mother's mother's name. That way men continue the male name line, and women continue the female name line.
But then siblings don't share the same last name, which might maybe cause administrative issues down the line?
They do! Siblings both carry their father's father's name and their mother's mother's name.
Kids of siblings will not have the same family name if the siblings have different gender, but that shouldn't be an issue
Interesting! But then how do you deal with the next generation?
See my comment above:
Oh sorry, it makes sense indeed!