diff --git a/tests/basics/sys_tracebacklimit.py.native.exp b/tests/basics/sys_tracebacklimit.py.native.exp
new file mode 100644
index 0000000000000..f9d30c058564b
--- /dev/null
+++ b/tests/basics/sys_tracebacklimit.py.native.exp
@@ -0,0 +1,22 @@
+ValueError: value
+
+limit 4
+ValueError: value
+
+limit 3
+ValueError: value
+
+limit 2
+ValueError: value
+
+limit 1
+ValueError: value
+
+limit 0
+ValueError: value
+
+limit -1
+ValueError: value
+
+True
+False
diff --git a/tests/micropython/emg_exc.py.native.exp b/tests/micropython/emg_exc.py.native.exp
new file mode 100644
index 0000000000000..9677c526a9cc8
--- /dev/null
+++ b/tests/micropython/emg_exc.py.native.exp
@@ -0,0 +1,2 @@
+ValueError: 1
+
diff --git a/tests/micropython/heapalloc_traceback.py.native.exp b/tests/micropython/heapalloc_traceback.py.native.exp
new file mode 100644
index 0000000000000..d6ac26aa829e1
--- /dev/null
+++ b/tests/micropython/heapalloc_traceback.py.native.exp
@@ -0,0 +1,3 @@
+StopIteration
+StopIteration: 
+
diff --git a/tests/micropython/opt_level_lineno.py b/tests/micropython/opt_level_lineno.py
index d8253e54b41f0..dda9092d868cf 100644
--- a/tests/micropython/opt_level_lineno.py
+++ b/tests/micropython/opt_level_lineno.py
@@ -3,4 +3,15 @@
 # check that level 3 doesn't store line numbers
 # the expected output is that any line is printed as "line 1"
 micropython.opt_level(3)
-exec("try:\n xyz\nexcept NameError as er:\n import sys\n sys.print_exception(er)")
+
+# force bytecode emitter, because native emitter doesn't store line numbers
+exec("""
+@micropython.bytecode
+def f():
+    try:
+        xyz
+    except NameError as er:
+        import sys
+        sys.print_exception(er)
+f()
+""")
diff --git a/tests/micropython/opt_level_lineno.py.exp b/tests/micropython/opt_level_lineno.py.exp
index 469b90ba7938a..b50f0628c81fb 100644
--- a/tests/micropython/opt_level_lineno.py.exp
+++ b/tests/micropython/opt_level_lineno.py.exp
@@ -1,3 +1,3 @@
 Traceback (most recent call last):
-  File "<string>", line 1, in <module>
+  File "<string>", line 1, in f
 NameError: name 'xyz' isn't defined
diff --git a/tests/misc/print_exception.py b/tests/misc/print_exception.py
index 92754733b58b1..d41478360faf3 100644
--- a/tests/misc/print_exception.py
+++ b/tests/misc/print_exception.py
@@ -71,7 +71,7 @@ def g():
     except Exception as e:
         print("reraise")
         print_exc(e)
-        raise
+        raise e
 except Exception as e:
     print("caught")
     print_exc(e)
diff --git a/tests/misc/print_exception.py.native.exp b/tests/misc/print_exception.py.native.exp
new file mode 100644
index 0000000000000..59e856ae3c44a
--- /dev/null
+++ b/tests/misc/print_exception.py.native.exp
@@ -0,0 +1,18 @@
+caught
+Exception: msg
+
+caught
+Exception: fail
+
+finally
+caught
+Exception: fail
+
+reraise
+Exception: fail
+
+caught
+Exception: fail
+
+AttributeError: 'function' object has no attribute 'X'
+
diff --git a/tests/run-tests.py b/tests/run-tests.py
index 958ddb1dc80e8..aeea0bad5e779 100755
--- a/tests/run-tests.py
+++ b/tests/run-tests.py
@@ -126,13 +126,6 @@ def open(self, path, mode):
         "basics/unboundlocal.py",
         # These require "raise from".
         "basics/exception_chain.py",
-        # These require proper traceback info.
-        "basics/sys_tracebacklimit.py",
-        "misc/print_exception.py",
-        "micropython/emg_exc.py",
-        "micropython/heapalloc_traceback.py",
-        "micropython/opt_level_lineno.py",
-        "thread/thread_exc2.py",
         # These require stack-allocated slice optimisation.
         "micropython/heapalloc_slice.py",
         # These require running the scheduler.
@@ -994,7 +987,11 @@ def run_one_test(test_file):
             # Expected output is result of running unittest.
             output_expected = None
         else:
-            test_file_expected = test_file + ".exp"
+            # Prefer emitter-specific expected output.
+            test_file_expected = test_file + "." + args.emit + ".exp"
+            if not os.path.isfile(test_file_expected):
+                # Fall back to generic expected output.
+                test_file_expected = test_file + ".exp"
             if os.path.isfile(test_file_expected):
                 # Expected output given by a file, so read that in.
                 with open(test_file_expected, "rb") as f:
@@ -1202,8 +1199,8 @@ def main():
 {test_directory_description}
 
 When running tests, run-tests.py compares the MicroPython output of the test with the output
-produced by running the test through CPython unless a <test>.exp file is found, in which
-case it is used as comparison.
+produced by running the test through CPython unless a <test>.exp file is found (or a
+<test>.native.exp file when using the native emitter), in which case it is used as comparison.
 
 If a test fails, run-tests.py produces a pair of <test>.out and <test>.exp files in the result
 directory with the MicroPython output and the expectations, respectively.
diff --git a/tests/thread/thread_exc2.py.native.exp b/tests/thread/thread_exc2.py.native.exp
new file mode 100644
index 0000000000000..9b2e715ef8dfc
--- /dev/null
+++ b/tests/thread/thread_exc2.py.native.exp
@@ -0,0 +1,3 @@
+Unhandled exception in thread started by <function thread_entry at 0x\[0-9a-f\]\+>
+ValueError: 
+done