This may not qualify as uncommon, but it is interesting.
The chart below lists which days of the week various yomim tovim and tanesim can fall out on.
There are four different types of years listed below, starting with the days Purim can fall out on.
This year is #2 (Purim on Tue, Pesach on Thu, Shavuos on Fri, etc.)
Purim Pesach Shavuos 17th of Tamuz/ Rosh Hashanah/ Yom Kippur Chanukah 10th of Teves Tu BiShvat
Tisha B'Av Sukkos/
Shmini Atzeres
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1)SUN TUE WED TUE THU SAT WED or THU WED, THU, TUE, WED,
or FRI or THU
2)TUE THU FRI THU SAT MON FRI or SAT FRI or SUN THU or SAT
3)THU SAT SUN SUN* MON WED SUN or MON SUN or TUE SAT or MON
4)FRI SUN MON SUN TUE THU MON TUE MON
*Postponed to not be held on Shabbos
(Chart copied from Wikipedia)