Animals owned by a nochri: Zevachim 45a; Temurah 3a
Animals from outside of Israel: Temurah 21a
Animals acquired by purchase or gift: Bechorot 11a
Animals used to redeem first-born male donkeys inherited by a non-kohen from a kohen maternal grandfather, who inherited them from a non-kohen maternal grandfather: Bechorot 11a
Can't be designated on the Holiday, because of concern that one might mark the animal: Chagigah 8a
Ownership of the animal that has been identified as the tithe
As Property of the Kohanim: Bava Kama 13a
Whether it may be sold: Bava Kama 13a; Temurah 5b
What happens if someone tries to substitute [temurah] another animal for the one which has been selected: Zevachim 37b; Bechorot 16a; Temurah 5b, 13b, 21a
What happens to the young of an animal which is substituted for the animal taken as tithe: Temurah 21a-b
Whether the heir of the original owner pays an extra one-fifth when redeeming it: Zevachim 6a
Procedure for bringing the tenth animal as a korban
Pouring the blood on the Base of the Altar: Pesachim 64b; Zevachim 37a
Burning of some sections of the animal on the Altar: Pesachim 64b; Zevachim 37a
Sprinkling its blood, if it gets mixed in with blood from other offerings: Temurah 5b
The shelamim is considered holier than the bechor and maaser beheimah offerings, because of the way it is processed: Zevachim 11b; Rashi Zevachim 2a "Bechor"
What happens to an animal born from the animal-tithe: Temurah 18b
A substitute for an animal which has been selected for the animal-tithe: Zevachim 37b; Bechorot 16a; Temurah 5b, 13b, 21a
What if the tenth animal, or its substitute, is blemished: Bechorot 14a; Temurah 13b
What happens if someone blemishes an animal which has been substituted for the animal taken as the tithe: Temurah 21a
What happens if someone blemishes an animal which has been substituted for the animal taken as the tithe by accident - it was supposed to be the ninth: Temurah 21a
Other items
Linking the laws of the animal-tithe and the first-born animal, such that rules for one will apply to the other as well: Bechorot 14b
Deadline for bringing the maaser beheimah as a korban: Zevachim 29b