Not that I’ve ever really had cause to use it in anger, but I like the idea of ISO week dates.
Effectively, the ISO weak year (often differs from the calendar year in the last week of December / first week of January), ISO week number and day of week form a leap week calendar - instead of having 365 days in a common year and 366 in a leap year, it has 364 days in a common year and 371 in a leap week year, with leap weeks (obviously) being less frequent than leap days.
The Sym454 calendar [0] takes this idea further to create a perpetual calendar, with 12 months of 4 or 5 weeks; in leap years the 12th month is 5 weeks instead of 4 weeks long. However, the leap week rule proposed by Sym454 is different from that proposed by ISO 8601; the author of Sym454 argues his proposed rule has theoretical advantages (simple calculation and more uniform distribution of leap weeks). That said, there is a variant of Sym454 which uses the ISO 8601 leap week rule.
Just found a random link to it with an image search:
https://gyazo.com/d8517f72e24c38f055e17182842b991c/max_size/...
ISO 8601 does have some strange formats...