I look at connections between the two plays, As You Like It and Much Ado About Nothing.
As you examine parallels, please allow these ideas to guide you:
First, you might want to examine how setting plays both eminent and symbolic roles in both pieces. For example, please note the use of the court and forest. Please note how the Forest of Ardenne is used to conjure French images. This doubling might suggest that Shakespeare covers domestic issues masked by a foreign setting. As You Like It also examines themes of injustices in a rural setting.
Besides setting, you might also want to analyze the role of courtships within both texts. You might want to compare the use of love and sex in the plays as well as the battle of the sexes. Shakespeare uses both plays to expose love's complications. The notion of true love versus romantic love ...