SGML has at least SP/OpenSP, sgmljs, and nsgml as full-featured, stand-alone parsers. There are also parsers integrated into older versions of products such as MarkLogic, ArborText, and other pre-XML authoring suites, renderers, and CMSs. Then there are language runtime libs such as SWI Prolog's with a fairly complete basic SGML parser.

ISO 8879 (SGML) doesn't define an API or a set of required language features; it just describes SGML from an authoring perspective and leaves the rest to an application linked to a parser. It even uses that term for the original form of stylesheets ("link types", reusing other SGML concepts such as attributes to define rendering properties).

SGML doesn't even require a parser implementation to be able to parse an SGML declaration which is a complex formal document describing features, character sets, etc. used by an SGML document, the idea being that the declaration could be read by a human operator to check and arrange for integration into a foreign document pipeline. Even SCRIPT/VS (part of IBM's DCF and the origin of GML) could thus technically be considered SGML.

There are also a number of historical/academic parsers, and SGML-based HTML parsers used in old web browsers.