diff --git a/jwa/compression_gen_test.go b/jwa/compression_gen_test.go
index b3fbeb29..1d60ecf7 100644
--- a/jwa/compression_gen_test.go
+++ b/jwa/compression_gen_test.go
@@ -97,4 +97,20 @@ func TestCompressionAlgorithm(t *testing.T) {
 			return
 		}
 	})
+	t.Run(`check list of elements`, func(t *testing.T) {
+		t.Parallel()
+		var expected = map[jwa.CompressionAlgorithm]struct{}{
+			jwa.Deflate:    {},
+			jwa.NoCompress: {},
+		}
+		for _, v := range jwa.CompressionAlgorithms() {
+			if _, ok := expected[v]; !assert.True(t, ok, `%s should be in the expected list`, v) {
+				return
+			}
+			delete(expected, v)
+		}
+		if !assert.Len(t, expected, 0) {
+			return
+		}
+	})
 }
diff --git a/jwa/content_encryption_gen_test.go b/jwa/content_encryption_gen_test.go
index 0bdcaddc..b641d4ab 100644
--- a/jwa/content_encryption_gen_test.go
+++ b/jwa/content_encryption_gen_test.go
@@ -241,4 +241,24 @@ func TestContentEncryptionAlgorithm(t *testing.T) {
 			return
 		}
 	})
+	t.Run(`check list of elements`, func(t *testing.T) {
+		t.Parallel()
+		var expected = map[jwa.ContentEncryptionAlgorithm]struct{}{
+			jwa.A128CBC_HS256: {},
+			jwa.A128GCM:       {},
+			jwa.A192CBC_HS384: {},
+			jwa.A192GCM:       {},
+			jwa.A256CBC_HS512: {},
+			jwa.A256GCM:       {},
+		}
+		for _, v := range jwa.ContentEncryptionAlgorithms() {
+			if _, ok := expected[v]; !assert.True(t, ok, `%s should be in the expected list`, v) {
+				return
+			}
+			delete(expected, v)
+		}
+		if !assert.Len(t, expected, 0) {
+			return
+		}
+	})
 }
diff --git a/jwa/elliptic_gen_test.go b/jwa/elliptic_gen_test.go
index 923f2910..4099847f 100644
--- a/jwa/elliptic_gen_test.go
+++ b/jwa/elliptic_gen_test.go
@@ -284,4 +284,30 @@ func TestEllipticCurveAlgorithm(t *testing.T) {
 			return
 		}
 	})
+	t.Run(`check list of elements`, func(t *testing.T) {
+		t.Parallel()
+		var expected = map[jwa.EllipticCurveAlgorithm]struct{}{
+			jwa.Ed25519: {},
+			jwa.Ed448:   {},
+			jwa.P256:    {},
+			jwa.P384:    {},
+			jwa.P521:    {},
+			jwa.X25519:  {},
+			jwa.X448:    {},
+		}
+		for _, v := range jwa.EllipticCurveAlgorithms() {
+			// There is no good way to detect from a test if es256k (secp256k1)
+			// is supported, so just allow it
+			if v.String() == `secp256k1` {
+				continue
+			}
+			if _, ok := expected[v]; !assert.True(t, ok, `%s should be in the expected list`, v) {
+				return
+			}
+			delete(expected, v)
+		}
+		if !assert.Len(t, expected, 0) {
+			return
+		}
+	})
 }
diff --git a/jwa/internal/cmd/gentypes/main.go b/jwa/internal/cmd/gentypes/main.go
index 05417276..b814f36b 100644
--- a/jwa/internal/cmd/gentypes/main.go
+++ b/jwa/internal/cmd/gentypes/main.go
@@ -601,6 +601,33 @@ func (t typ) GenerateTest() error {
 		fmt.Fprintf(&buf, "\n})")
 	}
 
+	fmt.Fprintf(&buf, "\nt.Run(`check list of elements`, func(t *testing.T) {")
+	fmt.Fprintf(&buf, "\nt.Parallel()")
+	fmt.Fprintf(&buf, "\nvar expected = map[jwa.%s]struct{} {", t.name)
+	for _, e := range t.elements {
+		if !e.invalid {
+			fmt.Fprintf(&buf, "\njwa.%s: {},", e.name)
+		}
+	}
+	fmt.Fprintf(&buf, "\n}")
+	fmt.Fprintf(&buf, "\nfor _, v := range jwa.%ss() {", t.name)
+	if t.name == "EllipticCurveAlgorithm" {
+		fmt.Fprintf(&buf, "\n// There is no good way to detect from a test if es256k (secp256k1)")
+		fmt.Fprintf(&buf, "\n// is supported, so just allow it")
+		fmt.Fprintf(&buf, "\nif v.String() == `secp256k1` {")
+		fmt.Fprintf(&buf, "\ncontinue")
+		fmt.Fprintf(&buf, "\n}")
+	}
+	fmt.Fprintf(&buf, "\nif _, ok := expected[v]; !assert.True(t, ok, `%%s should be in the expected list`, v) {")
+	fmt.Fprintf(&buf, "\nreturn")
+	fmt.Fprintf(&buf, "\n}")
+	fmt.Fprintf(&buf, "\ndelete(expected, v)")
+	fmt.Fprintf(&buf, "\n}")
+	fmt.Fprintf(&buf, "\nif !assert.Len(t, expected, 0) {")
+	fmt.Fprintf(&buf, "\nreturn")
+	fmt.Fprintf(&buf, "\n}")
+	fmt.Fprintf(&buf, "\n})")
+
 	fmt.Fprintf(&buf, "\n}")
 
 	filename := strings.Replace(t.filename, "_gen.go", "_gen_test.go", 1)
diff --git a/jwa/key_encryption_gen_test.go b/jwa/key_encryption_gen_test.go
index f01f5988..a40ad23d 100644
--- a/jwa/key_encryption_gen_test.go
+++ b/jwa/key_encryption_gen_test.go
@@ -691,4 +691,35 @@ func TestKeyEncryptionAlgorithm(t *testing.T) {
 			assert.False(t, jwa.RSA_OAEP_256.IsSymmetric(), `jwa.RSA_OAEP_256 should NOT be symmetric`)
 		})
 	})
+	t.Run(`check list of elements`, func(t *testing.T) {
+		t.Parallel()
+		var expected = map[jwa.KeyEncryptionAlgorithm]struct{}{
+			jwa.A128GCMKW:          {},
+			jwa.A128KW:             {},
+			jwa.A192GCMKW:          {},
+			jwa.A192KW:             {},
+			jwa.A256GCMKW:          {},
+			jwa.A256KW:             {},
+			jwa.DIRECT:             {},
+			jwa.ECDH_ES:            {},
+			jwa.ECDH_ES_A128KW:     {},
+			jwa.ECDH_ES_A192KW:     {},
+			jwa.ECDH_ES_A256KW:     {},
+			jwa.PBES2_HS256_A128KW: {},
+			jwa.PBES2_HS384_A192KW: {},
+			jwa.PBES2_HS512_A256KW: {},
+			jwa.RSA1_5:             {},
+			jwa.RSA_OAEP:           {},
+			jwa.RSA_OAEP_256:       {},
+		}
+		for _, v := range jwa.KeyEncryptionAlgorithms() {
+			if _, ok := expected[v]; !assert.True(t, ok, `%s should be in the expected list`, v) {
+				return
+			}
+			delete(expected, v)
+		}
+		if !assert.Len(t, expected, 0) {
+			return
+		}
+	})
 }
diff --git a/jwa/key_type_gen_test.go b/jwa/key_type_gen_test.go
index e3d399c6..33aa785b 100644
--- a/jwa/key_type_gen_test.go
+++ b/jwa/key_type_gen_test.go
@@ -176,4 +176,22 @@ func TestKeyType(t *testing.T) {
 			return
 		}
 	})
+	t.Run(`check list of elements`, func(t *testing.T) {
+		t.Parallel()
+		var expected = map[jwa.KeyType]struct{}{
+			jwa.EC:       {},
+			jwa.OKP:      {},
+			jwa.OctetSeq: {},
+			jwa.RSA:      {},
+		}
+		for _, v := range jwa.KeyTypes() {
+			if _, ok := expected[v]; !assert.True(t, ok, `%s should be in the expected list`, v) {
+				return
+			}
+			delete(expected, v)
+		}
+		if !assert.Len(t, expected, 0) {
+			return
+		}
+	})
 }
diff --git a/jwa/signature_gen_test.go b/jwa/signature_gen_test.go
index ed4f0cad..8b304eba 100644
--- a/jwa/signature_gen_test.go
+++ b/jwa/signature_gen_test.go
@@ -565,4 +565,33 @@ func TestSignatureAlgorithm(t *testing.T) {
 			return
 		}
 	})
+	t.Run(`check list of elements`, func(t *testing.T) {
+		t.Parallel()
+		var expected = map[jwa.SignatureAlgorithm]struct{}{
+			jwa.ES256:       {},
+			jwa.ES256K:      {},
+			jwa.ES384:       {},
+			jwa.ES512:       {},
+			jwa.EdDSA:       {},
+			jwa.HS256:       {},
+			jwa.HS384:       {},
+			jwa.HS512:       {},
+			jwa.NoSignature: {},
+			jwa.PS256:       {},
+			jwa.PS384:       {},
+			jwa.PS512:       {},
+			jwa.RS256:       {},
+			jwa.RS384:       {},
+			jwa.RS512:       {},
+		}
+		for _, v := range jwa.SignatureAlgorithms() {
+			if _, ok := expected[v]; !assert.True(t, ok, `%s should be in the expected list`, v) {
+				return
+			}
+			delete(expected, v)
+		}
+		if !assert.Len(t, expected, 0) {
+			return
+		}
+	})
 }
diff --git a/jwx_test.go b/jwx_test.go
index 2e660bc3..f166a3bb 100644
--- a/jwx_test.go
+++ b/jwx_test.go
@@ -479,3 +479,48 @@ func TestGuessFormat(t *testing.T) {
 		})
 	}
 }
+
+func TestFormat(t *testing.T) {
+	testcases := []struct {
+		Value    jwx.FormatKind
+		Expected string
+		Error    bool
+	}{
+		{
+			Value:    jwx.UnknownFormat,
+			Expected: "UnknownFormat",
+		},
+		{
+			Value:    jwx.JWE,
+			Expected: "JWE",
+		},
+		{
+			Value:    jwx.JWS,
+			Expected: "JWS",
+		},
+		{
+			Value:    jwx.JWK,
+			Expected: "JWK",
+		},
+		{
+			Value:    jwx.JWKS,
+			Expected: "JWKS",
+		},
+		{
+			Value:    jwx.JWT,
+			Expected: "JWT",
+		},
+		{
+			Value:    jwx.FormatKind(9999999),
+			Expected: "FormatKind(9999999)",
+		},
+	}
+	for _, tc := range testcases {
+		tc := tc
+		t.Run(tc.Expected, func(t *testing.T) {
+			if !assert.Equal(t, tc.Expected, tc.Value.String(), `stringification should match`) {
+				return
+			}
+		})
+	}
+}