diff --git a/src/tests/GC/LargeMemory/Allocation/finalizertest.csproj b/src/tests/GC/LargeMemory/Allocation/finalizertest.csproj
index 77a81983b3ee1a..0824ed88733ab2 100644
--- a/src/tests/GC/LargeMemory/Allocation/finalizertest.csproj
+++ b/src/tests/GC/LargeMemory/Allocation/finalizertest.csproj
@@ -9,6 +9,9 @@
     <CLRTestExecutionArguments>2048</CLRTestExecutionArguments>
 
     <CLRTestPriority>1</CLRTestPriority>
+
+    <!-- https://github.com/dotnet/runtime/issues/5933 -->
+    <CLRTestTargetUnsupported Condition="'$(RuntimeFlavor)' == 'coreclr'">true</CLRTestTargetUnsupported>
   </PropertyGroup>
   <ItemGroup>
     <Compile Include="finalizertest.cs" />
diff --git a/src/tests/JIT/Directed/IL/Tailcall/ExplicitTailCallNoSO.il b/src/tests/JIT/Directed/IL/Tailcall/ExplicitTailCallNoSO.il
index 33961432440b9f..6115b8c783632d 100644
--- a/src/tests/JIT/Directed/IL/Tailcall/ExplicitTailCallNoSO.il
+++ b/src/tests/JIT/Directed/IL/Tailcall/ExplicitTailCallNoSO.il
@@ -18,7 +18,7 @@
     )
     .custom instance void [Microsoft.DotNet.XUnitExtensions]Xunit.SkipOnCoreClrAttribute::.ctor(string, valuetype [Microsoft.DotNet.XUnitExtensions]Xunit.RuntimeTestModes) = {
       string('Unstable under JIT stress')
-      int32(0x1E) // AnyJitStress
+      int32(0x11E) // AnyJitOptimizationStress
     }
     .custom instance void [Microsoft.DotNet.XUnitExtensions]Xunit.ActiveIssueAttribute::.ctor(string, class [mscorlib]System.Type, string[]) = {
         string('https://github.com/dotnet/runtimelab/issues/155: Tailcalls')
diff --git a/src/tests/JIT/Methodical/tailcall_v4/hijacking.il b/src/tests/JIT/Methodical/tailcall_v4/hijacking.il
index 86dfff8a56f09b..481f9ea57a49cd 100644
--- a/src/tests/JIT/Methodical/tailcall_v4/hijacking.il
+++ b/src/tests/JIT/Methodical/tailcall_v4/hijacking.il
@@ -280,7 +280,7 @@
     }
     .custom instance void [Microsoft.DotNet.XUnitExtensions]Xunit.SkipOnCoreClrAttribute::.ctor(string, valuetype [Microsoft.DotNet.XUnitExtensions]Xunit.RuntimeTestModes) = {
         string('needs triage')
-        int32(0x1E) // AnyJitStress
+      int32(0x11E) // AnyJitOptimizationStress
     }
     .entrypoint
     // Code size       300 (0x12c)
diff --git a/src/tests/JIT/Regression/JitBlue/devdiv_902271/DevDiv_902271.il b/src/tests/JIT/Regression/JitBlue/devdiv_902271/DevDiv_902271.il
index 992ef9ba2b8504..68c3f504c534af 100644
--- a/src/tests/JIT/Regression/JitBlue/devdiv_902271/DevDiv_902271.il
+++ b/src/tests/JIT/Regression/JitBlue/devdiv_902271/DevDiv_902271.il
@@ -80,7 +80,7 @@
         }
         .custom instance void [Microsoft.DotNet.XUnitExtensions]Xunit.SkipOnCoreClrAttribute::.ctor(string, valuetype [Microsoft.DotNet.XUnitExtensions]Xunit.RuntimeTestModes) = {
             string('Unstable under JIT stress')
-            int32(0x1E) // AnyJitStress
+            int32(0x11E) // AnyJitOptimizationStress
         }
         .entrypoint
         .maxstack  8
diff --git a/src/tests/JIT/opt/Tailcall/TailcallVerifyWithPrefix.il b/src/tests/JIT/opt/Tailcall/TailcallVerifyWithPrefix.il
index a4034161100d43..e7718bd32f22ac 100644
--- a/src/tests/JIT/opt/Tailcall/TailcallVerifyWithPrefix.il
+++ b/src/tests/JIT/opt/Tailcall/TailcallVerifyWithPrefix.il
@@ -2114,7 +2114,7 @@
     }
     .custom instance void [Microsoft.DotNet.XUnitExtensions]Xunit.SkipOnCoreClrAttribute::.ctor(string, valuetype [Microsoft.DotNet.XUnitExtensions]Xunit.RuntimeTestModes) = {
         string('Depends on implicit tailcalls to be performed')
-        int32(0x1E) // AnyJitStress
+      int32(0x11E) // AnyJitOptimizationStress
     }
     .custom instance void [Microsoft.DotNet.XUnitExtensions]Xunit.SkipOnMonoAttribute::.ctor(string, valuetype [Microsoft.DotNet.XUnitExtensions]Xunit.TestPlatforms) = {
         string('Depends on RyuJIT-specific tail-call expectations')