Awesome

Awesome JSDoc

A list of awesome JSDoc <sub><sup>(GitHub)</sup></sub> plugins, resources, etc.

jsdoc - Site creating original standard and a documentation tool.
TypeScript docs on jsdoc - Supported JSDoc in TypeScript (TypeScript-flavor JSDoc); note especially the need for parentheses around casts!
TypeScript docs for working with JavaScript files - Reference on working with plain JavaScript files to convert to declaration files (*.d.ts).
Closure on tags - Closure's reference on its JSDoc tag usage.
Closure on types - Closure's reference on its JSDoc type usage.

typedoc - Create documentation using the TypeScript flavor of JSDoc (including documentation of plain JavaScript)
typedoc-plugin-missing-exports - Ensure typedoc gets referenced, non-exported items documented in addition to exported items.

Official Markdown plugin (converting Markdown syntax within jsdoc when building jsdoc)
jsdoc-to-markdown (Generating Markdown docs from JSDoc)
jsdoc-md (Generating Markdown docs from JSDoc)

comment-parser - JSDoc-like parsing and stringifying (to be semantically aware of jsdoc's tags, you will need to supply a custom parser like in eslint-plugin-jsdoc).
@es-joy/jsdoccomment - Allows JSDoc-aware tag semantics on top of comment-parser. Also has a number of utilities, e.g., converting parser AST to ESLint AST and VisitorKeys.
@es-joy/jsdoc-eslint-parser - A proof-of-concept ESLint parser integrating @babel/eslint-parser, comment-parser (via @es-joy/jsdoccomment), and jsdocttypeparser.

jsdoc-type-pratt-parser
jsdoctypeparser - JSDoc type parser/stringifier/traverser used in eslint-plugin-jsdoc which also supports some TypeScript.
catharsis - JSDoc type parser used within jsdoc itself.

json-schema-to-jsdoc - Converts from JSON Schema to JSDoc.
jsdoc-jsonschema - Converts from jsdoc to JSON Schema (early in project, but aims to use standard @typedef).

typescript - Check plain JavaScript with TypeScript by using allowJs and checkJs in tsconfig.json.
bycontract - Validate structures with jsdoc expressions.
eslint-plugin-typelint - Allows JSON Schema (or Redux reducer) to be pointed to by jsdoc types with usage type-checked.
tern - Checking type usage against jsdoc. (Also interesting for notion of implicit typing--might there be a static but implicitly typed, ESLint-enforced subset of JavaScript (like asm.js) which can compile to more performant code without need to pollute code with types everywhere?.)