Much of the organ music from the nineteenth and twentieth centuries embraces legato as a basic touch. Much of the earlier organ music calls for a less legato (“articulate legato”) basis. But no general period of organ composition centers around staccato touch.
Perhaps the closest to a general style where staccato touch is standard is the French toccata style. The rapid manual figuration that is so characteristic of this style is often specified by the composer to be played staccato. If the composer does not indicate staccato, organists often play staccato anyway, since it adds energy and excitement. At the speed required by French toccatas, however, the resulting touch resembles non-legato.