Definition of an "Individual's Offering": Yuma 51a
The owner of an offering must be present/represented at the bringing of the offering: Taanit 26a, 27a; Sotah 8a
Requiring that the owner have "knowledge [Daat]" of the Offering: Nedarim 35b-36a
Whether an offering may be brought on the altar, without a Temple: Megillah 10a
The owner must own the entire offering he brings: Temurah 11b
A Required Offering must come from non-sanctified funds: Chagigah 8a
Recycling an Offering if it wasn't used for its designation at the first opportunity: Yuma 65a-66a
Whether Offerings during Night-time are considered to be under-age, or if it is the proper time already and we just don't bring the Offering until the daytime: Chagigah 9b
Bringing an offering for someone, if he has vowed renouncing benefit from him: Nedarim 35b-36a
All communal offerings are from male animals: Temurah 14a
If a communal offering is not brought on time, it is not brought at all: Temurah 14a
If the libations for a communal offering are not brought on time, they are not brought at all, unless the offering was brought on time: Temurah 14a
Consumption
One must eat Offerings of lesser holiness in an area within the diameter marked from Jerusalem to Bait Pagi: Pesachim 63b
Eating Offerings while one is a Mourner with an Un-buried Relative: Pesachim 38b
Eating an Offering which was to be for pre-Midnight consumption: Berachot 2a
One may not put Offerings in a position of disgrace: Shabbat 116b, Menachot 63b-64a
One may not put Offerings in a position in which they will rot: Shabbat 116b
One is not allowed to bring an Offering in a situation which will not allow for consumption, resulting in its waste: Pesachim 13b
Beyond the Laws
Gd's dislike for the offerings of the wicked: Megillah 31b