One of Hermia's wants is to have her father respect Lysander as she does. We see her exhibit this want in the very opening scene. Her strong desire to have Lysander respected makes her bold enough to argue Lysander's worth before Duke Theseus. When Theseus argues in Hermia's father's favor, saying that "Demetrius is a worthy gentleman," Hermia boldly responds with one line, "So is Lysander," showing us just how much Hermia wants her father to respect Lysander (I.i.53, 54).
Another one of her wants is the ability to marry Lysander without interference or judgement, as we see when she agrees to run away with him out of Athens to his aunt's house.
A third wish that we can attribute to Hermia is the desire for Demetrius to stop pursuing her. After Lysander has disappeared in the woods, and Hermia begs Demetrius to tell her where he is, Demetrius asks what reward he will get for doing that. Hermia best relays her hatred for Demetrius and her wish to be left alone by him in her reply that what he will get as a reword is:
A privilege, never to see me more.
And from thy hated presence part I so;
See me no more, whether he be dead or no. (III.ii.80-82)
Hence, we see that most of Hermia's wishes and desires in this play revolve around her love for Lysander and wanting to marry him instead of Demetrius.
Hermia's main want/wish is to be Demetrius' centre of attention.She says she woudl do anything to be with him. She's almost obsessed over him and says she would recieve beats like a dog if that's the attention he gave her.