Remove more flaky non-e2e tests (#74062)

Fixes https://github.com/flutter/flutter/issues/73873
diff --git a/dev/devicelab/bin/tasks/animated_placeholder_perf.dart b/dev/devicelab/bin/tasks/animated_placeholder_perf.dart
deleted file mode 100644
index d5d52ac..0000000
--- a/dev/devicelab/bin/tasks/animated_placeholder_perf.dart
+++ /dev/null
@@ -1,12 +0,0 @@
-// Copyright 2014 The Flutter Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style license that can be
-// found in the LICENSE file.
-
-import 'package:flutter_devicelab/framework/adb.dart';
-import 'package:flutter_devicelab/framework/framework.dart';
-import 'package:flutter_devicelab/tasks/perf_tests.dart';
-
-Future<void> main() async {
-  deviceOperatingSystem = DeviceOperatingSystem.android;
-  await task(createAnimatedPlaceholderPerfTest());
-}
diff --git a/dev/devicelab/lib/tasks/perf_tests.dart b/dev/devicelab/lib/tasks/perf_tests.dart
index cb9c0e1..8e9cad6 100644
--- a/dev/devicelab/lib/tasks/perf_tests.dart
+++ b/dev/devicelab/lib/tasks/perf_tests.dart
@@ -172,16 +172,6 @@
   ).run;
 }
 
-TaskFunction createAnimatedPlaceholderPerfTest({bool measureCpuGpu = true}) {
-  return PerfTest(
-    '${flutterDirectory.path}/dev/benchmarks/macrobenchmarks',
-    'test_driver/run_app.dart',
-    'animated_placeholder_perf',
-    measureCpuGpu: measureCpuGpu,
-    testDriver: 'test_driver/animated_placeholder_perf_test.dart',
-  ).run;
-}
-
 TaskFunction createAnimatedPlaceholderPerfE2ETest() {
   return PerfTest.e2e(
     '${flutterDirectory.path}/dev/benchmarks/macrobenchmarks',
@@ -334,15 +324,6 @@
   ).run;
 }
 
-TaskFunction createsMultiWidgetConstructPerfTest() {
-  return PerfTest(
-    '${flutterDirectory.path}/dev/benchmarks/macrobenchmarks',
-    'test_driver/run_app.dart',
-    'multi_widget_construction_perf',
-    testDriver: 'test_driver/multi_widget_construction_perf_test.dart',
-  ).run;
-}
-
 TaskFunction createsMultiWidgetConstructPerfE2ETest() {
   return PerfTest.e2e(
     '${flutterDirectory.path}/dev/benchmarks/macrobenchmarks',
diff --git a/dev/prod_builders.json b/dev/prod_builders.json
index 36c7254..8bfe8a7 100644
--- a/dev/prod_builders.json
+++ b/dev/prod_builders.json
@@ -37,12 +37,6 @@
          "flaky": false
       },
       {
-         "name": "Linux animated_placeholder_perf",
-         "repo": "flutter",
-         "task_name": "linux_animated_placeholder_perf",
-         "flaky": true
-      },
-      {
          "name": "Linux backdrop_filter_perf__e2e_summary",
          "repo": "flutter",
          "task_name": "linux_backdrop_filter_perf__e2e_summary",