Technically, many countries hand count, thought they typically don't hand count ballots with 20 things on them.
OMG. I can tell you have never been an election worker in Australia. Here Anthony Green, the ABC elections guru, explains in sixty seconds how to cast a Senate vote.
Our senate papers are counted by hand, and until recently, you had to number every box if voting "below the line". They have reduced that requirement to a 'mere' 12 votes minimum, but there are still in the order of
90 candidates on a single paper.
The parties or candidate groups produce their own full list of preferences, and voting "above the line" essentailly means you accept your party's or group's below the line distribution.
Lots of voters still prefer to vote below the line.
I can assure you from personal experience that it takes more than sixty seconds to teach a new Electoral worker how to
count Senate papers.
And we have compulsory voting, so there's one of these bad boys to count for each and every voter, which is around 95% of the adult population.
It takes a fair while, but who's in a hurry? The US has two and a half months between election day and inaugauration day; Why would it matter if it took a month to count all the votes? That would still leave enough time for a full recount...