diff --git a/packages/babel-types/test/retrievers.js b/packages/babel-types/test/retrievers.js
index a66c0891c6c4..41ee709fb27b 100644
--- a/packages/babel-types/test/retrievers.js
+++ b/packages/babel-types/test/retrievers.js
@@ -18,11 +18,59 @@ describe("retrievers", function () {
         getBody("var foo = 1; function bar() { var baz = 2; }"),
         ["bar", "foo"],
       ],
+      [
+        "object methods",
+        getBody("({ a(b) { let c } })")[0].expression.properties[0],
+        ["b"],
+      ],
+      [
+        "class methods",
+        getBody("(class { a(b) { let c } })")[0].expression.body.body,
+        ["b"],
+      ],
+      [
+        "class private methods",
+        getBody("(class { #a(b) { let c } })")[0].expression.body.body,
+        ["b"],
+      ],
       [
         "export named declarations",
         getBody("export const foo = 'foo';"),
         ["foo"],
       ],
+      [
+        "export default class declarations",
+        getBody("export default class foo {}"),
+        ["foo"],
+      ],
+      [
+        "export default referenced identifiers",
+        getBody("export default foo"),
+        [],
+      ],
+      ["export all declarations", getBody("export * from 'x'"), []],
+      [
+        "export all as namespace declarations",
+        getBody("export * as ns from 'x'"),
+        [], // exported bindings are not associated with declarations
+      ],
+      [
+        "export namespace specifiers",
+        getBody("export * as ns from 'x'")[0].specifiers,
+        ["ns"],
+      ],
+      [
+        "object patterns",
+        getBody("const { a, b: { ...c } = { d } } = {}"),
+        ["a", "c"],
+      ],
+      [
+        "array patterns",
+        getBody("var [ a, ...{ b, ...c } ] = {}"),
+        ["a", "b", "c"],
+      ],
+      ["update expression", getBody("++x")[0].expression, ["x"]],
+      ["assignment expression", getBody("x ??= 1")[0].expression, ["x"]],
     ])("%s", (_, program, bindingNames) => {
       const ids = t.getBindingIdentifiers(program);
       expect(Object.keys(ids)).toEqual(bindingNames);