Eruz Chatzeiros? dont people do that once a year?
hmm… what about one that not everyone says, but that one normally only says once a year… ie: the bracha a father says at his son’s bris? it is possible though to have two sons born within a year who were not twins but that is not the norm… ok, not everyone has a son every year but I do know some families where it goes almost without fail Bli Ayin Hara…
the bracha for megila? wait, you do that though in the morning and the evening…
ok, I am not sure if any of these are what you are looking for, but it was a try…