Nobody makes a one-episode ONA about New Year's cards. The fact that one exists, and was written by someone who actually won a postal service award for it, means it trusts something most anime won't: that a single moment of connection between strangers is enough. You watch it once and it stays with you the way a handwritten card does, small and perfect and impossible to throw away.
A short slice-of-life ONA from 2014, told in a single episode, built around the memories people attach to New Year's cards. Its story was drawn from the sixth annual contest run by the greeting card site Nenga Aisatsujo, which invited entrants to share heartwarming recollections tied to these seasonal greetings. The winning story, by Sachiyo Okuno, earned the contest's newly created Japanese Postal Service Award.