What types of desire are illustrated in A Streetcar Named Desire by Tennessee Williams?

Each of the characters in the play has different desires.  Many of these desires are destructive.  Let's start with Stella.  Stella wants a peaceful existence, a family life, and her husband Stanley.  Blanche's arrival causes an uneasy tension for Stella, for she is constantly caught between her sympathy for Blanche and her love for Stanley.  When Stanley accuses Blanche of stealing because her clothes and jewelry look so fine, Blanche defends her sister.  When Blanche protests the way Stanley treats Stella, Stella makes excuses for him and even declares that she is attracted to his violent ways.  But there is no doubt that Stella desires Stanley more than she desires a relationship with her sister or a peaceful family life.  As she says, 

But there are things that happen between a man and a woman in the dark--that sort of make everything else seem--unimportant.

For Blanche, her sexual desire (and love) for Stanley overrules everything else.  These lines show the motive for her decision at the end of the play to ignore Stanley's rape of Blanche.  

Stanley is portrayed as a sexual, animalistic man.  He is threatened by Blanche's education, her sophisticated airs, and her mockery of him.  He has all he desires in his present life:  playing cards with his buddies from time to time and coming home from work to Stella. A hedonist, Stanley desires instant gratification.  He has strong sexual desires for his wife, but he also loves her too.  When Blanche makes him feel insecure, he reacts cruelly and violently.  He acts quickly to protect the life he desires.   

Blanche desires the past.  She wants to be young again, she wants the glamour of Belle Rive, she would like a second chance with her former husband--not a second chance in marriage, but a second chance to show him compassion.  She wants a new start, but she desires the ways of the past.   Because she desires what she cannot have, she drinks, is promiscuous, and is pretentious.  Blanche cannot go back in time, and this is the truth that she cannot accept.  Mitch presents the possibility, however, of a second chance.  His attraction to her is genuine, and she enjoys being adored, but more importantly, with Mitch, she would have financial security and a chance to be respectable again.