From the Rabbi Broyde post that I referenced in a comment to your un-duplicate question:
Consider, for example, four examples that I happen to have written
about or am writing about currently—tefillin on Chol ha-Moed, aliyot
in a city where all the men are kohanim, whether the daughter of a
gentile man and Jewish woman may marry a Kohen, and the of using
charity funds to build synagogues rather than to support the poor.
In all four cases, the Bavli is silent while the Yerushalmi directly
addresses the matter. On the topic of tefillin on Chol ha-Moed, Y.Moed
Katan 3:4 is clear that tefillin should be worn; in Y.Gittin 5:9 it is
clear that even in a city where all the men are kohanim, women do not
get called to the Torah; Y.Yevamot 4:15 is clear that such a woman
cannot marry a Kohen; and in Y.Peah 8:8 it is clear that a synagogue
is a valid recipient of charity. Although it is obvious that each of
these four matters generates some controversy among the Poskim, I
suspect that the core dispute is whether one needs to adopt the
halachic norm as expressed by the Jerusalem Talmud. Much more could be
written on this matter.