General Prohibition against using items created on Shabbat/Holidays: Shabbat 156b-157a; Beitzah 2b
Do we consider a Holiday followed by Shabbat, or a Holiday preceded by Shabbat, as a single sanctity or as two separate sanctities: Eruvin 38a-39a; Beitzah 4a-b
Whether the laws of Muktzeh and Nolad apply on the same days, or not: Beitzah 2a
Status of a Nolad item that is lost in a mixture with non-Nolad items: Beitzah 3b-4a
Are Nolad items considered in the class of Davar sheyesh lo matirin, items that will become permitted soon: Beitzah 3b-4a
Is an item considered "Nolad" in terms of human use if it was already prepared for an animal's use before Shabbat/Yom Tov began [muchan l'klavim [lo] havi muchan l'adam]: Beitzah 6a-b
Is an item considered "Nolad" in terms of animal use if it was already prepared for a human's use before Shabbat/Yom Tov began [muchan l'adam [lo] havi muchan l'klavim]: Beitzah 6a-b
Cases
A First-Born Kosher Animal which was born with a blemish on Holidays: Shabbat 136a
Lighting a fire with broken vessels, which broke on/before Holidays: Shabbat 124b, 143a
A corpse of an animal that died on Shabbat/Holidays: Shabbat 156b; Beitzah 6b
A corpse of a Korban [animal offering] that died on Shabbat/Holidays: Shabbat 156b
An egg laid from a chicken that had been intended for eating when the holiday began: Beitzah 2a-b, 4a
An egg laid from a chicken that had not been specified as food before Yom Tov, but that became identified as food on Yom Tov: Beitzah 4a
An egg laid on Shabbat or on a holiday: Beitzah 2a-5b
An egg that might have been laid on Shabbat or on a holiday: Beitzah 3b-4a
An egg laid on a Shabbat followed by a Holiday, or vice versa: Eruvin 38b; Beitzah 2b, 4a-b Preparing an egg laid on Yom Tov for consumption the next day, which is Shabbat: Beitzah 4a-b
Using wood on Yom Tov if it fell from a tree on the preceding day, which was Shabbat: Beitzah 4b
Rainwater: Eruvin 45b-46a
An egg found inside a slaughtered chicken on a Holiday: Beitzah 2b, 6b
An egg that hatches, or a calf that is born, on Yom Tov: Beitzah 6a-b
An egg that hatches on the day before Yom Tov: Beitzah 6b
An egg that emerged partway before Yom Tov, but then retreated inside the chicken: Beitzah 7a
What if one checked a chicken coop before Yom Tov and found no eggs, and then found an egg in the early morning of Yom Tov: Beitzah 7a-b
An Egg laid on the First Day of Rosh HaShanah: Shabbat 139b; Beitzah 3a-b, 4b-5a
An egg laid on the first day of a two-day holiday: Eruvin 39a, 39b; Beitzah 4b-5a