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
"Ikkur"
"Ikkur" Process (for a Modern Sanctified Item): Yuma 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: Yuma 66a