An interesting look at King Lear from a feminist perspective can be taken in Act I Scene III, the Duke of Albany's Palace. This scene consists mostly of Goneril's conversation with Oswald about the inequalities dealt to her and her sister by her father, King Lear. In this scene, Goneril also devises a course of action to take in response.
Goneril's biggest gripes that she expresses in this scene are his divisiveness and his intolerance for small misdeeds, while he lets his knights do whatever the hell they want. According to Goneril, "every hour He flashes into one gross crime or other, That sets us all at odds: I'll not endure it: His knights grow riotous, and himself upbraids us On every trifle." In her words, its clear to the reader that the king's actions of playing sister against sister is a major strain on the family relations. At the same time, her comparison to the king's men highlight her lowered status as a woman. While they can run around and "grow riotous," she is reprimanded for every minor infraction.
Goneril decides to give her father the cold shoulder to get back at him. It could be argued that she's fighting for equality with the men she compares herself to. She mentions that she'll write her sister to involve her in this effort at equality. It seems like this scene is a good one for feminist critics because almost all of the lines are a woman's. It gives the reader a good insight into how Shakespeare developed his female characters, and what assumptions are made about them by the author and the other characters. Such as Goneril's last line "prepare for dinner." Even after her whole speech about scheming against her father, she's relegated the domestic duty of reminding her husband that dinner is ready.