diff --git a/compiler/testData/codegen/box/annotations/genericAnnotations.kt b/compiler/testData/codegen/box/annotations/genericAnnotations.kt
index a7971b4f661..5a72ca035b6 100644
--- a/compiler/testData/codegen/box/annotations/genericAnnotations.kt
+++ b/compiler/testData/codegen/box/annotations/genericAnnotations.kt
@@ -1,5 +1,7 @@
 // IGNORE_LEAKED_INTERNAL_TYPES: KT-54517
-// IGNORE_BACKEND_K2: JS_IR, NATIVE
+// IGNORE_BACKEND_K2: JS_IR
+// KT-58553
+// IGNORE_BACKEND_K2: NATIVE
 // MODULE: lib
 // FILE: l1.kt
 package ann
diff --git a/compiler/testData/codegen/box/arrays/arrayInstanceOf.kt b/compiler/testData/codegen/box/arrays/arrayInstanceOf.kt
index 7250b4d677f..7f2cd98ec14 100644
--- a/compiler/testData/codegen/box/arrays/arrayInstanceOf.kt
+++ b/compiler/testData/codegen/box/arrays/arrayInstanceOf.kt
@@ -1,4 +1,6 @@
-// IGNORE_BACKEND_K2: JS_IR, NATIVE
+// IGNORE_BACKEND_K2: JS_IR
+// KT-55457
+// IGNORE_BACKEND_K2: NATIVE
 
 //test [], get and iterator calls
 fun test(createIntNotLong: Boolean): String {
diff --git a/compiler/testData/codegen/box/arrays/kt7288.kt b/compiler/testData/codegen/box/arrays/kt7288.kt
index d09f5f8fc67..74a7ecdc947 100644
--- a/compiler/testData/codegen/box/arrays/kt7288.kt
+++ b/compiler/testData/codegen/box/arrays/kt7288.kt
@@ -1,4 +1,6 @@
-// IGNORE_BACKEND_K2: JS_IR, NATIVE
+// IGNORE_BACKEND_K2: JS_IR
+// KT-55457
+// IGNORE_BACKEND_K2: NATIVE
 
 fun test(b: Boolean): String {
     val a = if (b) IntArray(5) else LongArray(5)
diff --git a/compiler/testData/codegen/box/callableReference/property/genericProperty.kt b/compiler/testData/codegen/box/callableReference/property/genericProperty.kt
index b91631e81c6..6d7edba63be 100644
--- a/compiler/testData/codegen/box/callableReference/property/genericProperty.kt
+++ b/compiler/testData/codegen/box/callableReference/property/genericProperty.kt
@@ -1,5 +1,6 @@
 // !LANGUAGE: -ForbidUsingExtensionPropertyTypeParameterInDelegate
 //For KT-6020
+// KT-58555
 // IGNORE_BACKEND_K2: NATIVE
 
 import kotlin.reflect.KProperty1
diff --git a/compiler/testData/codegen/box/coroutines/kt15016.kt b/compiler/testData/codegen/box/coroutines/kt15016.kt
index c40ed1ffd4d..98435c34dfa 100644
--- a/compiler/testData/codegen/box/coroutines/kt15016.kt
+++ b/compiler/testData/codegen/box/coroutines/kt15016.kt
@@ -1,7 +1,5 @@
 // WITH_STDLIB
 // WITH_COROUTINES
-// https://youtrack.jetbrains.com/issue/KT-56747/K2-N-Wrong-return-type-for-lambda-Any-Any-which-returns-Unit 
-// IGNORE_BACKEND_K2: NATIVE
 import helpers.*
 
 import kotlin.coroutines.intrinsics.COROUTINE_SUSPENDED
diff --git a/compiler/testData/codegen/box/innerNested/innerWithDefaultInner.kt b/compiler/testData/codegen/box/innerNested/innerWithDefaultInner.kt
index 76571ae9e2d..8d44a4b265e 100644
--- a/compiler/testData/codegen/box/innerNested/innerWithDefaultInner.kt
+++ b/compiler/testData/codegen/box/innerNested/innerWithDefaultInner.kt
@@ -1,4 +1,4 @@
-// IGNORE_BACKEND_K2: JS_IR, NATIVE
+// IGNORE_BACKEND_K2: JS_IR
 
 // KT-40686
 
diff --git a/compiler/testData/codegen/box/ir/serializationRegressions/deepGenericDelegatedProperty.kt b/compiler/testData/codegen/box/ir/serializationRegressions/deepGenericDelegatedProperty.kt
index aa466bfb1c7..b37c3dba663 100644
--- a/compiler/testData/codegen/box/ir/serializationRegressions/deepGenericDelegatedProperty.kt
+++ b/compiler/testData/codegen/box/ir/serializationRegressions/deepGenericDelegatedProperty.kt
@@ -4,6 +4,7 @@
 // SKIP_MANGLE_VERIFICATION
 //For KT-6020
 // KT-24643: language version in K2 is >= 1.8
+// KT-58555
 // IGNORE_BACKEND_K2: NATIVE
 
 // MODULE: lib
diff --git a/compiler/testData/codegen/box/ir/serializationRegressions/genericProperty.kt b/compiler/testData/codegen/box/ir/serializationRegressions/genericProperty.kt
index d6a5b855012..64f5201a7b1 100644
--- a/compiler/testData/codegen/box/ir/serializationRegressions/genericProperty.kt
+++ b/compiler/testData/codegen/box/ir/serializationRegressions/genericProperty.kt
@@ -1,6 +1,7 @@
 // !LANGUAGE: -ForbidUsingExtensionPropertyTypeParameterInDelegate
 //For KT-6020
 // KT-24643: language version in K2 is >= 1.8
+// KT-58555
 // IGNORE_BACKEND_K2: NATIVE
 
 // MODULE: lib
diff --git a/kotlin-native/backend.native/tests/build.gradle b/kotlin-native/backend.native/tests/build.gradle
index 8bbaee21ae6..1d04b3521e1 100644
--- a/kotlin-native/backend.native/tests/build.gradle
+++ b/kotlin-native/backend.native/tests/build.gradle
@@ -4690,8 +4690,7 @@ interopTest("interop_concurrentTerminate") {
 }
 
 interopTest("interop_incompleteTypes") {
-    disabled = (project.testTarget == 'wasm32') || // No interop for wasm yet.
-            isK2(project) // KT-56027
+    disabled = (project.testTarget == 'wasm32')  // No interop for wasm yet.
     source = "interop/incomplete_types/main.kt"
     interop = 'incomplete_types'
 }