diff --git a/spark/src/main/scala/org/apache/comet/serde/QueryPlanSerde.scala b/spark/src/main/scala/org/apache/comet/serde/QueryPlanSerde.scala
index bef7e15e10..0d38af216f 100644
--- a/spark/src/main/scala/org/apache/comet/serde/QueryPlanSerde.scala
+++ b/spark/src/main/scala/org/apache/comet/serde/QueryPlanSerde.scala
@@ -2255,28 +2255,38 @@ object QueryPlanSerde extends Logging with CometExprShim {
 
   }
 
-  // TODO: Remove this constraint when we upgrade to new arrow-rs including
-  // https://github.com/apache/arrow-rs/pull/6225
+  // scalastyle:off
+  /**
+   * Align w/ Arrow's
+   * [[https://github.com/apache/arrow-rs/blob/55.2.0/arrow-ord/src/rank.rs#L30-L40 can_rank]] and
+   * [[https://github.com/apache/arrow-rs/blob/55.2.0/arrow-ord/src/sort.rs#L193-L215 can_sort_to_indices]]
+   *
+   * TODO: Include SparkSQL's [[YearMonthIntervalType]] and [[DayTimeIntervalType]]
+   */
+  // scalastyle:off
   def supportedSortType(op: SparkPlan, sortOrder: Seq[SortOrder]): Boolean = {
     def canRank(dt: DataType): Boolean = {
       dt match {
         case _: ByteType | _: ShortType | _: IntegerType | _: LongType | _: FloatType |
-            _: DoubleType | _: TimestampType | _: DecimalType | _: DateType =>
+            _: DoubleType | _: DecimalType =>
           true
-        case _: BinaryType | _: StringType => true
+        case _: DateType | _: TimestampType | _: TimestampNTZType =>
+          true
+        case _: BooleanType | _: BinaryType | _: StringType => true
         case _ => false
       }
     }
 
     if (sortOrder.length == 1) {
       val canSort = sortOrder.head.dataType match {
-        case _: BooleanType => true
         case _: ByteType | _: ShortType | _: IntegerType | _: LongType | _: FloatType |
-            _: DoubleType | _: TimestampType | _: TimestampNTZType | _: DecimalType |
-            _: DateType =>
+            _: DoubleType | _: DecimalType =>
+          true
+        case _: DateType | _: TimestampType | _: TimestampNTZType =>
           true
-        case _: BinaryType | _: StringType => true
+        case _: BooleanType | _: BinaryType | _: StringType => true
         case ArrayType(elementType, _) => canRank(elementType)
+        case MapType(_, valueType, _) => canRank(valueType)
         case _ => false
       }
       if (!canSort) {
diff --git a/spark/src/test/scala/org/apache/comet/exec/CometExecSuite.scala b/spark/src/test/scala/org/apache/comet/exec/CometExecSuite.scala
index 339f90e81c..10c6aaa201 100644
--- a/spark/src/test/scala/org/apache/comet/exec/CometExecSuite.scala
+++ b/spark/src/test/scala/org/apache/comet/exec/CometExecSuite.scala
@@ -201,6 +201,114 @@ class CometExecSuite extends CometTestBase {
     }
   }
 
+  test("Sort on array of boolean") {
+    withSQLConf(
+      SQLConf.ADAPTIVE_EXECUTION_ENABLED.key -> "true",
+      SQLConf.PARQUET_VECTORIZED_READER_ENABLED.key -> "false",
+      CometConf.COMET_EXEC_ENABLED.key -> "true",
+      CometConf.COMET_EXEC_SHUFFLE_ENABLED.key -> "true",
+      CometConf.COMET_SHUFFLE_MODE.key -> "jvm") {
+
+      sql("""
+          |CREATE OR REPLACE TEMPORARY VIEW test_list AS SELECT * FROM VALUES
+          | (array(true)),
+          | (array(false)),
+          | (array(false)),
+          | (array(false)) AS test(arr)
+          |""".stripMargin)
+
+      val df = sql("""
+          SELECT * FROM test_list ORDER BY arr
+          |""".stripMargin)
+      val sort = stripAQEPlan(df.queryExecution.executedPlan).collect { case s: CometSortExec =>
+        s
+      }.headOption
+      assert(sort.isDefined)
+    }
+  }
+
+  test("Sort on TimestampNTZType") {
+    withSQLConf(
+      SQLConf.ADAPTIVE_EXECUTION_ENABLED.key -> "true",
+      SQLConf.PARQUET_VECTORIZED_READER_ENABLED.key -> "false",
+      CometConf.COMET_EXEC_ENABLED.key -> "true",
+      CometConf.COMET_EXEC_SHUFFLE_ENABLED.key -> "true",
+      CometConf.COMET_SHUFFLE_MODE.key -> "jvm") {
+
+      sql("""
+          |CREATE OR REPLACE TEMPORARY VIEW test_list AS SELECT * FROM VALUES
+          | (TIMESTAMP_NTZ'2025-08-29 00:00:00'),
+          | (TIMESTAMP_NTZ'2023-07-07 00:00:00'),
+          | (convert_timezone('Asia/Kathmandu', 'UTC', TIMESTAMP_NTZ'2023-07-07 00:00:00')),
+          | (convert_timezone('America/Los_Angeles', 'UTC', TIMESTAMP_NTZ'2023-07-07 00:00:00')),
+          | (TIMESTAMP_NTZ'1969-12-31 00:00:00') AS test(ts_ntz)
+          |""".stripMargin)
+
+      val df = sql("""
+          SELECT * FROM test_list ORDER BY ts_ntz
+          |""".stripMargin)
+      checkSparkAnswer(df)
+      val sort = stripAQEPlan(df.queryExecution.executedPlan).collect { case s: CometSortExec =>
+        s
+      }.headOption
+      assert(sort.isDefined)
+    }
+  }
+
+  test("Sort on map w/ TimestampNTZType values") {
+    withSQLConf(
+      SQLConf.ADAPTIVE_EXECUTION_ENABLED.key -> "true",
+      SQLConf.PARQUET_VECTORIZED_READER_ENABLED.key -> "false",
+      CometConf.COMET_EXEC_ENABLED.key -> "true",
+      CometConf.COMET_EXEC_SHUFFLE_ENABLED.key -> "true",
+      CometConf.COMET_SHUFFLE_MODE.key -> "jvm") {
+
+      sql("""
+          |CREATE OR REPLACE TEMPORARY VIEW test_map AS SELECT * FROM VALUES
+          | (map('a', TIMESTAMP_NTZ'2025-08-29 00:00:00')),
+          | (map('b', TIMESTAMP_NTZ'2023-07-07 00:00:00')),
+          | (map('c', convert_timezone('Asia/Kathmandu', 'UTC', TIMESTAMP_NTZ'2023-07-07 00:00:00'))),
+          | (map('d', convert_timezone('America/Los_Angeles', 'UTC', TIMESTAMP_NTZ'2023-07-07 00:00:00'))) AS test(map)
+          |""".stripMargin)
+
+      val df = sql("""
+          SELECT * FROM test_map ORDER BY map_values(map) DESC
+          |""".stripMargin)
+      checkSparkAnswer(df)
+      val sort = stripAQEPlan(df.queryExecution.executedPlan).collect { case s: CometSortExec =>
+        s
+      }.headOption
+      assert(sort.isDefined)
+    }
+  }
+
+  test("Sort on map w/ boolean values") {
+    withSQLConf(
+      SQLConf.ADAPTIVE_EXECUTION_ENABLED.key -> "true",
+      SQLConf.PARQUET_VECTORIZED_READER_ENABLED.key -> "false",
+      CometConf.COMET_EXEC_ENABLED.key -> "true",
+      CometConf.COMET_EXEC_SHUFFLE_ENABLED.key -> "true",
+      CometConf.COMET_EXEC_SORT_ENABLED.key -> "true",
+      CometConf.COMET_SHUFFLE_MODE.key -> "jvm") {
+
+      sql("""
+          |CREATE OR REPLACE TEMPORARY VIEW test_map AS SELECT * FROM VALUES
+          | (map('a', true)),
+          | (map('b', true)),
+          | (map('c', false)),
+          | (map('d', true)) AS test(map)
+          |""".stripMargin)
+
+      val df = sql("""
+          SELECT * FROM test_map ORDER BY map_values(map) DESC
+          |""".stripMargin)
+      val sort = stripAQEPlan(df.queryExecution.executedPlan).collect { case s: CometSortExec =>
+        s
+      }.headOption
+      assert(sort.isDefined)
+    }
+  }
+
   test(
     "fall back to Spark when the partition spec and order spec are not the same for window function") {
     withTempView("test") {