A calendar is a great example because they usually emphasize the month, week, and day graphically, not typographically. Another common remaining example might

A calendar is a great example because they usually emphasize the month, week, and day graphically, not typographically. Another common remaining example might be a bank statement. But what's interesting there is that the dates are in a column and the year disappears. It hardly matters whether the year comes first or last because you don't actually notice it at all unless the year is rolling over--conspicuous change in that column. But when I'm looking at something lacking implicit context regarding publication date, such as an online magazine article, a YouTube video, or a Tweet, the year is the first thing I'm searching for. Even on HN, the rule is that the year needs to be included in the title if it wasn't published in the current year. I guess for e-mail the day and month are most important (similar to bank statements), unless you're reading really old messages. But I use mutt with a default mailbox view that doesn't even show the year.