In what ways did the African American civil rights movement influence the protest methods of other groups in American society?

Since the Civil Rights Movement for black rights was far and away the most successful movement in the last century (the movement for women's votes took a lot longer to win its goals), it is not surprising that its methods influenced everything that has come after it.

Perhaps the most obvious influence is the use of sit-ins where the protestors attempt to force the police to arrest them.  This has been used by movements that range from anti-abortion protestors to anti-nuclear protestors.  The use of nonviolent civil disobedience has also had an effect on the ways in which most other protest groups have tried to get their messages across.

Another thing that the Civil Rights Movement did was to craft protests that would get media attention and thereby publicize the cause.  This impacted other movements as well. You have/had things like women burning their bras, gay pride parades with people dressed (or not dressed) in very "out there" ways, and abortion protestors displaying pictures of aborted fetuses.  All of these are meant to attract attention just as the marches of the Civil Rights Movement did.