diff --git a/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth/TestBasicAuth.java b/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth/TestBasicAuth.java
index 6544b23dab635..176277866b73a 100644
--- a/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth/TestBasicAuth.java
+++ b/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth/TestBasicAuth.java
@@ -41,10 +41,11 @@
 import org.apache.arrow.vector.types.Types;
 import org.apache.arrow.vector.types.pojo.Field;
 import org.apache.arrow.vector.types.pojo.Schema;
+import org.junit.jupiter.api.AfterAll;
 import org.junit.jupiter.api.AfterEach;
 import org.junit.jupiter.api.Assertions;
+import org.junit.jupiter.api.BeforeAll;
 import org.junit.jupiter.api.BeforeEach;
-import org.junit.jupiter.api.Disabled;
 import org.junit.jupiter.api.Test;
 
 import com.google.common.collect.ImmutableList;
@@ -56,8 +57,8 @@ public class TestBasicAuth {
   private static final byte[] VALID_TOKEN = "my_token".getBytes(StandardCharsets.UTF_8);
 
   private FlightClient client;
-  private FlightServer server;
-  private BufferAllocator allocator;
+  private static FlightServer server;
+  private static BufferAllocator allocator;
 
   @Test
   public void validAuth() {
@@ -65,8 +66,6 @@ public void validAuth() {
     Assertions.assertTrue(ImmutableList.copyOf(client.listFlights(Criteria.ALL)).size() == 0);
   }
 
-  // ARROW-7722: this test occasionally leaks memory
-  @Disabled
   @Test
   public void asyncCall() throws Exception {
     client.authenticateBasic(USERNAME, PASSWORD);
@@ -97,7 +96,12 @@ public void didntAuth() {
   }
 
   @BeforeEach
-  public void setup() throws IOException {
+  public void testSetup() throws IOException {
+    client = FlightClient.builder(allocator, server.getLocation()).build();
+  }
+
+  @BeforeAll
+  public static void setup() throws IOException {
     allocator = new RootAllocator(Long.MAX_VALUE);
     final BasicServerAuthHandler.BasicAuthValidator validator = new BasicServerAuthHandler.BasicAuthValidator() {
 
@@ -149,12 +153,19 @@ public void getStream(CallContext context, Ticket ticket, ServerStreamListener l
             }
           }
         }).authHandler(new BasicServerAuthHandler(validator)).build().start();
-    client = FlightClient.builder(allocator, server.getLocation()).build();
   }
 
   @AfterEach
-  public void shutdown() throws Exception {
-    AutoCloseables.close(client, server, allocator);
+  public void tearDown() throws Exception {
+    AutoCloseables.close(client);
+  }
+
+  @AfterAll
+  public static void shutdown() throws Exception {
+    AutoCloseables.close(server);
+
+    allocator.getChildAllocators().forEach(BufferAllocator::close);
+    AutoCloseables.close(allocator);
   }
 
 }
diff --git a/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth2/TestBasicAuth2.java b/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth2/TestBasicAuth2.java
index 4ccc73fcac10e..cadd67d3ed241 100644
--- a/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth2/TestBasicAuth2.java
+++ b/java/flight/flight-core/src/test/java/org/apache/arrow/flight/auth2/TestBasicAuth2.java
@@ -41,10 +41,9 @@
 import org.apache.arrow.vector.types.Types;
 import org.apache.arrow.vector.types.pojo.Field;
 import org.apache.arrow.vector.types.pojo.Schema;
-import org.junit.jupiter.api.AfterEach;
+import org.junit.jupiter.api.AfterAll;
 import org.junit.jupiter.api.Assertions;
-import org.junit.jupiter.api.BeforeEach;
-import org.junit.jupiter.api.Disabled;
+import org.junit.jupiter.api.BeforeAll;
 import org.junit.jupiter.api.Test;
 
 import com.google.common.base.Strings;
@@ -57,18 +56,18 @@ public class TestBasicAuth2 {
   private static final String NO_USERNAME = "";
   private static final String PASSWORD_1 = "woohoo1";
   private static final String PASSWORD_2 = "woohoo2";
-  private BufferAllocator allocator;
-  private FlightServer server;
-  private FlightClient client;
-  private FlightClient client2;
+  private static BufferAllocator allocator;
+  private static FlightServer server;
+  private static FlightClient client;
+  private static FlightClient client2;
 
-  @BeforeEach
-  public void setup() throws Exception {
+  @BeforeAll
+  public static void setup() throws Exception {
     allocator = new RootAllocator(Long.MAX_VALUE);
     startServerAndClient();
   }
 
-  private FlightProducer getFlightProducer() {
+  private static FlightProducer getFlightProducer() {
     return new NoOpFlightProducer() {
       @Override
       public void listFlights(CallContext context, Criteria criteria,
@@ -99,23 +98,26 @@ public void getStream(CallContext context, Ticket ticket, ServerStreamListener l
     };
   }
 
-  private void startServerAndClient() throws IOException {
+  private static void startServerAndClient() throws IOException {
     final FlightProducer flightProducer = getFlightProducer();
-    this.server = FlightServer
+    server = FlightServer
         .builder(allocator, forGrpcInsecure(LOCALHOST, 0), flightProducer)
         .headerAuthenticator(new GeneratedBearerTokenAuthenticator(
-            new BasicCallHeaderAuthenticator(this::validate)))
+            new BasicCallHeaderAuthenticator(TestBasicAuth2::validate)))
         .build().start();
-    this.client = FlightClient.builder(allocator, server.getLocation())
+    client = FlightClient.builder(allocator, server.getLocation())
         .build();
   }
 
-  @AfterEach
-  public void shutdown() throws Exception {
-    AutoCloseables.close(client, client2, server, allocator);
+  @AfterAll
+  public static void shutdown() throws Exception {
+    AutoCloseables.close(client, client2, server);
     client = null;
     client2 = null;
     server = null;
+
+    allocator.getChildAllocators().forEach(BufferAllocator::close);
+    AutoCloseables.close(allocator);
     allocator = null;
   }
 
@@ -124,7 +126,7 @@ private void startClient2() throws IOException {
         .build();
   }
 
-  private CallHeaderAuthenticator.AuthResult validate(String username, String password) {
+  private static CallHeaderAuthenticator.AuthResult validate(String username, String password) {
     if (Strings.isNullOrEmpty(username)) {
       throw CallStatus.UNAUTHENTICATED.withDescription("Credentials not supplied.").toRuntimeException();
     }
@@ -156,14 +158,12 @@ public void validAuthWithMultipleClientsWithDifferentCredentialsWithBearerAuthSe
     testValidAuthWithMultipleClientsWithDifferentCredentials(client, client2);
   }
 
-  // ARROW-7722: this test occasionally leaks memory
-  @Disabled
   @Test
   public void asyncCall() throws Exception {
     final CredentialCallOption bearerToken = client
         .authenticateBasicToken(USERNAME_1, PASSWORD_1).get();
     client.listFlights(Criteria.ALL, bearerToken);
-    try (final FlightStream s = client.getStream(new Ticket(new byte[1]))) {
+    try (final FlightStream s = client.getStream(new Ticket(new byte[1]), bearerToken)) {
       while (s.next()) {
         Assertions.assertEquals(4095, s.getRoot().getRowCount());
       }
diff --git a/java/flight/flight-sql/src/test/java/org/apache/arrow/flight/TestFlightSqlStreams.java b/java/flight/flight-sql/src/test/java/org/apache/arrow/flight/TestFlightSqlStreams.java
index 11d00742fd243..1dd925eb53add 100644
--- a/java/flight/flight-sql/src/test/java/org/apache/arrow/flight/TestFlightSqlStreams.java
+++ b/java/flight/flight-sql/src/test/java/org/apache/arrow/flight/TestFlightSqlStreams.java
@@ -46,7 +46,6 @@
 import org.junit.jupiter.api.AfterAll;
 import org.junit.jupiter.api.Assertions;
 import org.junit.jupiter.api.BeforeAll;
-import org.junit.jupiter.api.Disabled;
 import org.junit.jupiter.api.Test;
 
 import com.google.common.collect.ImmutableList;
@@ -209,10 +208,13 @@ public static void setUp() throws Exception {
 
   @AfterAll
   public static void tearDown() throws Exception {
-    close(sqlClient, server, allocator);
+    close(sqlClient, server);
+
+    // Manually close all child allocators.
+    allocator.getChildAllocators().forEach(BufferAllocator::close);
+    close(allocator);
   }
 
-  @Disabled("Memory leak GH-38268")
   @Test
   public void testGetTablesResultNoSchema() throws Exception {
     try (final FlightStream stream =
@@ -232,7 +234,6 @@ public void testGetTablesResultNoSchema() throws Exception {
     }
   }
 
-  @Disabled("Memory leak GH-38268")
   @Test
   public void testGetTableTypesResult() throws Exception {
     try (final FlightStream stream =
@@ -251,7 +252,6 @@ public void testGetTableTypesResult() throws Exception {
     }
   }
 
-  @Disabled("Memory leak GH-38268")
   @Test
   public void testGetSqlInfoResults() throws Exception {
     final FlightInfo info = sqlClient.getSqlInfo();
@@ -263,7 +263,6 @@ public void testGetSqlInfoResults() throws Exception {
     }
   }
 
-  @Disabled("Memory leak GH-38268")
   @Test
   public void testGetTypeInfo() throws Exception {
     FlightInfo flightInfo = sqlClient.getXdbcTypeInfo();
@@ -280,7 +279,6 @@ public void testGetTypeInfo() throws Exception {
     }
   }
 
-  @Disabled("Memory leak GH-38268")
   @Test
   public void testExecuteQuery() throws Exception {
     try (final FlightStream stream = sqlClient