Johnson Vs. Texas could be a controversial case. The case was ruled in favor of Johnson 5 to 4. Chief Justice Brennan spoke for the majority of the justices’. Brennan said,
"If there is a bedrock principle underlying the First Amendment, it is that the government may not prohibit the expression of an idea simply because society finds the idea itself offensive or disagreeable . . .."
http://www.landmarkcases.org/texas/home.html
Brennan along with the following Thurgood Marshall, Harry Blackmun, Antonin Scalia, and Anthony Kennedy all had the majority vote for letting Johnson go under the first amendment rights. Sandra Day O’Connor, William Rehnquist, Byron White and John Paul Stevens wanted Johnson to be convicted.
The majority decided Johnsons win.
“The Court found that Johnson's actions fell into the category of expressive conduct and had a distinctively political nature. The fact that an audience takes offense to certain ideas or expression, the Court found, does not justify prohibitions of speech. The Court also held that state officials did not have the authority to designate symbols to be used to communicate only limited sets of messages, noting that "[i] f there is a bedrock principle underlying the First Amendment, it is that the Government may not prohibit the expression of an idea simply because society finds the idea itself offensive or disagreeable."
http://www.oyez.org/cases/1980-1989/1988/1988_88_155/
“The majority's opinion reaffirmed central First Amendment doctrine. Nonetheless, four members of the Court dissented because of the special nature of the flag as a symbol. Chief Justice William Rehnquist issued a poetic dissent that celebrated the history of the flag in America. The reaction to Johnson spilled into the national political arena. Within a few months Congress passed the Flag Protection Act of 1989, which attempted to challenge legislatively the Supreme Court's ruling in Johnson.”