Brave New World and 1984 are alike in envisioning a dystopic future in which the state robs individuals of their deepest humanity. The two governments depicted, however, are different in the ways they attempt achieve their goals. Brave New World's government succeeds by making life very comfortable for its citizens through conditioning, consumerism, orgies, and the drug soma. The citizens, thinking they are happy, don't realize they are being cheated of the pain, art, religion, and deep relationships that make us fully human. 1984's government succeeds in maintaining power by crushing outer Party members into conformity through fear, surveillance, dumbing down the language, and economic deprivation.
A comparison/contrast paper could compare and contrast Winston Smith to John the Savage. Both rebel against their dystopic worlds. However, Winston fights back through pursuing such comforts as a loving relationship. He also fights back by trying to join a purported underground rebellion. He does not want to die, but to live.
In contrast, John the Savage embraces an austere lifestyle without a woman to prevent himself from being corrupted by the comforts of his new world, and in the end, he commits suicide as a way out.
A thesis might say something like this: Both Winston Smith and John the Savage rebel against the soulless conformity of their dystopic worlds, but the different natures of their dystopias dictate different modes of rebellion: for Smith, rebellion involves embracing ordinary human comforts and a love relationship, while for John it means rejecting the temptations of both materialism and superficial sexual relations.