Back then there was 5, 3 and 1 points awarded by a jury from every country and there were less about 15 countries competing. Nowadays there are around 40 countries competing and 12, 10, 8, 7, 6, 5, 4, 3, 2 and 1 points are awarded by jury and televote from every country. So if someone still manages to get 0 points, the song must really be awful or just a copy.
For recent years, I've opted to only include nations which scored zero points overall. In the semifinals in 2017, Malta received zero points from televotes, but got 55 from the jury.
A bit pedantic I know, so I have added a caveat to clarify!
Side note: I made this quiz in 2014, and totally just assumed that 'nil pois' means 'no points' in French. The URL still haunts me to this day.
A bit pedantic I know, so I have added a caveat to clarify!