diff --git a/test/exception-multiple-ehframe.sh b/test/exception-multiple-ehframe.sh
index 1b9f434a4f..c411eb9265 100755
--- a/test/exception-multiple-ehframe.sh
+++ b/test/exception-multiple-ehframe.sh
@@ -5,7 +5,6 @@ nm mold | grep -q '__tsan_init' && skip
 
 command -v perl > /dev/null || skip
 
-[ $MACHINE = m68k ] && skip
 [ $MACHINE = sh4 ] && skip
 
 cat <<EOF | $CXX -o $t/a.o -c -xc++ -
diff --git a/test/exception.sh b/test/exception.sh
index 6761a76df1..e054ec529f 100755
--- a/test/exception.sh
+++ b/test/exception.sh
@@ -1,9 +1,6 @@
 #!/bin/bash
 . $(dirname $0)/common.inc
 
-[ $MACHINE = m68k ] && skip
-[ $MACHINE = sh4 ] && skip
-
 static=
 test_cxxflags -static && static=-static
 
diff --git a/test/issue646.sh b/test/issue646.sh
index e419d4a7b7..a33f473e88 100755
--- a/test/issue646.sh
+++ b/test/issue646.sh
@@ -1,9 +1,6 @@
 #!/bin/bash
 . $(dirname $0)/common.inc
 
-[ $MACHINE = m68k ] && skip
-[ $MACHINE = sh4 ] && skip
-
 cat <<EOF | $CXX -o $t/a.o -c -xc++ -
 #include <iostream>
 #include <stdexcept>
diff --git a/test/relocatable-c++.sh b/test/relocatable-c++.sh
index e20cdfe50e..6ce5e7be3e 100755
--- a/test/relocatable-c++.sh
+++ b/test/relocatable-c++.sh
@@ -4,10 +4,6 @@
 # OneTBB isn't tsan-clean
 nm mold | grep -q '__tsan_init' && skip
 
-# Ubuntu 22.04 GCC is broken
-[ $MACHINE = m68k ] && skip
-[ $MACHINE = sh4 ] && skip
-
 cat <<EOF | $CXX -c -o $t/a.o -xc++ -
 void hello();
 void world();