A calendar with 13 months of 28 days each. This would result in a year with 364 days. However, it wouldn't align with the solar year, which is about 365.24 days. The extra .24 days accumulate to create the need for a leap year.
Simply put, this system would simplify the calendar but would still require some kind of adjustment to stay in sync with the seasons.
Current calendars are a pain to support. This would totally make things easier. Always 4 weeks per month, days of the week always correspond with day of month. This is significantly easier than the current system.
Yeah it's called skip day. It wouldn't be a day of the week it would literally just be a day with no name attached to it and every four years you'd have two skip days. So you'd have Sunday December 28th, and then 2 days later would be Monday January 1st. As long as we all accept that skip days don't exist within a week it's fine.
It's a little weird but it's only weird for two days or one day rather than being weird basically all the time.
I live on earth, I'm an adult and speak English as my primary language, and even I need to do the little song to work out how many days a given month has.
Those movies never really made much sense. Surely the first thing people would do is find a way to make money or get free stuff. Maybe you have a few enterprising bank robbers, but most people would probably just loot.
Granted, people get shot for way less in the US all the time, so maybe it's better to just stay home and get high.