Burning an offering on a holiday, where its standard use leads to burning and where it doesn't: Menachot 46b
Offerings of Higher Holiness which are Disqualified are Burned in the Temple's Outer Room: Pesachim 24a
Burning it using Wood of the Altar: Pesachim 49a
Burning Offerings which Left their Desgnated Area in front of the Temple: Pesachim 49a
If an Offering which Left its Designated Area was accidentally removed, and discovered, beyond Har HaTzofim: Pesachim 49a
Above, where discovery of the removed offering was within the border marked by Har HaTzofim: Pesachim 49a
Amount, whether an Egg-Size or an Olive-Size, mandating a person to return and burn it properly: Pesachim 49a, 49b-50a
Burning after "Ibbur Tzurah": Menachot 48a-49a, 50b Rabbinic decree that one should burn an offering which was sanctified erroneously and processed in the Beit haMikdash before the error was discovered, lest people see it buried and think that disqualified offerings are to be buried: Keritot 24b
"Ikkur"
"Ikkur" Process (for a Modern Sanctified Item): Yoma 66a
"Ibbur Tzurah"
Requiring "Ibbur Tzurah" for items which become invalid via Improper Thought During the Service: Menachot 50b
Requiring "Ibbur Tzurah" for items which become invalid due to Impurity: Menachot 50b
Requiring "Ibbur Tzurah" for an item which was sanctified and valid at one point, and then was disqualified due to an external factor: Menachot 50b
[Whipping for] eating Disqualified Offerings of Higher Holiness: Pesachim 24a, 24b
Fear of accidental use if one maintains a disqualified offering: Yoma 66a