At the end of the “Urn of Sacred Ashes” quest, you have the option of destroying the ashes. If you choose to do this, Leliana will turn against you (as will Wynne if she is in the party).
Through dialogue choices, you can make Oghren so angry that he will try to leave, if his approval has dropped low enough. When this occurs, you can try to convince him to stay, you can engage him in combat (Oghren will surrender before the end of the combat, and you can choose to kill him, threaten him back into line, or send him away), or you can just let him go. This can happen twice.
If you travel to the Urn of Sacred Ashes, Sten will question your commitment to destroying the archdemon. If you are a bit too lippy with him, he’ll challenge you for control of the party. If you beat him, he’ll want to leave.
In the “Urn of Sacred Ashes” quest, Wynne will turn against you if you decide to destroy the ashes, just as Leliana will. You will have to fight them and kill them if they are in the party. During the “Broken Circle” quest, on the fourth floor of the tower, Cullen will suggest that killing all the mages in the tower is the only way to fix things. If you side with Cullen, Wynne will leave the party for good and fight you to the death. Later, if you reveal that you are a blood mage (or accepted the blood mage specialization from the desire demon in the Fade), Wynne will also turn against you.
During the first random encounter, Zevran can be killed before you ever talk to him, or at any time during the first conversation before he is recruited. Shame on you.
Based on poor approval rating, you can make Zevran so angry that he will try to leave. You can try to convince him to stay, or you can engage him in combat (thereby killing him), or you can just let him go. This can happen twice; the second time there is no more convincing.
Just before the Landsmeet, Zevran’s old friend Taliesin will ambush you in a back alley random encounter with a number of Antivan Crows. If Zevran likes you a lot, he’ll stay and fight them, though your dialogue choices in this encounter can cause him to leave even if he likes you enough to stay. If he really doesn’t like you, he’ll join them to fight against you. If he’s somewhere in between, he’ll leave during the fight but stay in the party afterward.