From the 1982 Platform of the Libertarian Party:

"In particular we advocate:
b.      The repeal of all laws regarding consensual sexual
  relations, including prostitution and solicitation, and the
  cessation of state oppression and harassment of homosexual men
  and women, that they, at last, be accorded their full rights as
  individuals."

        "No individual rights should be denied or abridged by the
laws of the United States or any state or locality on account of
sex, race, color, creed, age, national origin or sexual
preference."

        "We believe that 'children' are human beings and, as
such, have the same rights as any other human beings.  Any 
reference in this Platform to the rights of human beings includes 
children."  

        "We regard the tragedies caused by unplanned, unwanted 
pregnancies to be aggravated, if not created, by government 
policies of censorship, restriction, regulation and prohibition.  
Therefore we call for the repeal of all laws which restrict 
anyone, including children, from engaging in voluntary exchanges 
of goods, services or information regarding human sexuality, 
reproduction, birth control, or related medical or biological 
technologies."

        The 1986 platform preserved the above-cited language, but 
greatly expanded the "Children's Rights" article to include the 
following:

"We oppose all legally created or sanctioned discrimination 
against (or in favor of) children, just as we oppose government 
discrimination directed at any other artificially defined sub-
category of human beings."

"We also support the repeal of all laws establishing any 
category of crimes applicable to children for which adults would 
not be similarly vulnerable, such as curfew, smoking and 
alcoholic beverage laws, and other status offenses.  (...)  We 
seek the repeal of all 'children's codes' of statutes which 
abridge due process protections for young people."

"Children should always have the right to establish their 
maturity by assuming administration and protection of their own 
rights, ending dependency upon their parents or other guardians 
and assuming all the responsibilities of adulthood."

"We condemn the attempts by parents or any others -- via 
kidnappings, conservatorships, or instruction under confinement -
- to force children to conform to their parent's or any others' 
religious views."

[http://www.fortfreedom.org/b29.htm by Hank Phillips (1/8/1990)]