The font style used in BR's logo is called Friz Quadrata (bold) and was designed by Vic Caruso for Visual Graphics Corp. in 1974 after the Ernst Friz original of 1965.
A font style that comes really close is Anticlaire, which, in contrary to Friz Quadrata, is freely available.
In 2001 a font collection by Killer Fonts called 'The Bad Religion Font Collection' was promoted on badreligion.com. It contained 'armageddon', 'gregonios' light and bold, 'suffer' and 'leonardi da vinci'.
