diff --git a/internal/toml-test/tests/invalid/datetime/offset-overflow-hour.toml b/internal/toml-test/tests/invalid/datetime/offset-overflow-hour.toml
new file mode 100644
index 00000000..2c85d56c
--- /dev/null
+++ b/internal/toml-test/tests/invalid/datetime/offset-overflow-hour.toml
@@ -0,0 +1,2 @@
+# Hour must be 00-24
+d = 1985-06-18 17:04:07+25:00
diff --git a/internal/toml-test/tests/invalid/datetime/offset-overflow-minute.toml b/internal/toml-test/tests/invalid/datetime/offset-overflow-minute.toml
new file mode 100644
index 00000000..fdcadc52
--- /dev/null
+++ b/internal/toml-test/tests/invalid/datetime/offset-overflow-minute.toml
@@ -0,0 +1,3 @@
+# Minute must be 00-59; we allow 60 too because some people do write offsets of
+# 60 minutes
+d = 1985-06-18 17:04:07+12:61
diff --git a/internal/toml-test/tests/valid/datetime/datetime.toml b/internal/toml-test/tests/valid/datetime/datetime.toml
index 653d521f..831d2615 100644
--- a/internal/toml-test/tests/valid/datetime/datetime.toml
+++ b/internal/toml-test/tests/valid/datetime/datetime.toml
@@ -1,2 +1,4 @@
 space = 1987-07-05 17:45:00Z
+
+# ABNF is case-insensitive, both "Z" and "z" must be supported.
 lower = 1987-07-05t17:45:00z
diff --git a/internal/toml-test/tests/valid/string/start-mb.json b/internal/toml-test/tests/valid/string/start-mb.json
new file mode 100644
index 00000000..523dacca
--- /dev/null
+++ b/internal/toml-test/tests/valid/string/start-mb.json
@@ -0,0 +1,9 @@
+{
+    "s1": {"type": "string", "value": "§"},
+    "s2": {"type": "string", "value": "§"},
+    "s3": {"type": "string", "value": "§"},
+    "s4": {"type": "string", "value": "§"},
+    "s5": {"type": "string", "value": "§"},
+    "s6": {"type": "string", "value": "§"},
+    "s7": {"type": "string", "value": "§"}
+}
diff --git a/internal/toml-test/tests/valid/string/start-mb.toml b/internal/toml-test/tests/valid/string/start-mb.toml
new file mode 100644
index 00000000..2576f1bd
--- /dev/null
+++ b/internal/toml-test/tests/valid/string/start-mb.toml
@@ -0,0 +1,13 @@
+# Start first line with a multibyte character.
+#
+# https://github.com/marzer/tomlplusplus/issues/190
+s1 = "§"
+s2 = '§'
+s3 = """\
+§"""
+s4 = """
+§"""
+s5 = """§"""
+s6 = '''
+§'''
+s7 = '''§'''
diff --git a/toml_test.go b/toml_test.go
index 7e0cff2e..7713b857 100644
--- a/toml_test.go
+++ b/toml_test.go
@@ -313,6 +313,10 @@ func runTomlTest(t *testing.T, includeNext bool, wantFail ...string) {
 			Parser:   parser{},
 			RunTests: runTests,
 			SkipTests: []string{
+				// Will be fixed in Go 1.23: https://github.com/BurntSushi/toml/issues/407
+				"invalid/datetime/offset-overflow-hour",
+				"invalid/datetime/offset-overflow-minute",
+
 				// These tests are fine, just doesn't deal well with empty output.
 				"valid/comment/noeol",
 				"valid/comment/nonascii",