Each tribe ultimately produced at least one Prophet: Succah 27b
Manifestation of Hashem's Presence requires that one not be sad, lazy, playing or light-headed or wasting time: Pesachim 117a
Manifestation of Hashem's Presence requires involvement in the joy of a Mitzvah: Pesachim 117a
Manifestation of Hashem's Presence requires that one not have contracted Death-Impurity: Shabbat 87a
Manifestation of Hashem's Presence requires Wisdom, Will-Power, Wealth and Physical Height: Shabbat 92a
Prophecy outside Israel: Moed Katan 25a
Prophecy in picking a specific verse out of the Torah: Succah 51b
Only prophecies which were relevant to the generations were canonized: Megillah 14a
The wealth of the prophets: Nedarim 38a
Batyah, the daughter of Pharaoh, prophesied without knowing she was doing so, predicting that Moses would be the last to be put in the water; the decree ended that day: Sotah 12b
Batyah, the daughter of Pharaoh, prophesied without knowing she was doing so, in using language with Yocheved which indicated that Yocheved was Moses's mother: Sotah 12b
Three thousand laws were forgotten during the mourning for Moses. The people asked Joshua to ask Gd to re-teach them, but he refused because the Torah is "not in Heaven." Samuel and Pinchas refused, too, arguing that a prophet is not permitted to institute anything new: Temurah 15b-16a
Divine Inspiration [Ruach HaKodesh]
As the Jews suffered in Egypt, Gd informed them with Divine inspiration that so they would multiply: Sotah 11a
Whether the Scroll of the Purim Story was first composed/written with divine inspiration: Megillah 7a [2x]
Whether Ecclesiastes represents something which is divinely inspired, or is the wisdom of Shelomo: Megillah 7a