diff --git a/CHANGELOG.md b/CHANGELOG.md
index dbcfce80..088dd70c 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -23,6 +23,8 @@ Modifications by (in alphabetical order):
 * P. Vitt, University of Siegen, Germany
 * A. Voysey, UK Met Office
 
+26/08/2026 PR #518. Adds support for the remaining F2008 intrinsics.
+
 26/08/2026 PR #526 for #484. Adds a 'format-missing-comma' extension which
            permits commas to be omitted between character-string edit
            descriptors and neighbouring format items.
diff --git a/src/fparser/two/Fortran2008/intrinsics_f08.py b/src/fparser/two/Fortran2008/intrinsics_f08.py
index d80096c4..28e94508 100644
--- a/src/fparser/two/Fortran2008/intrinsics_f08.py
+++ b/src/fparser/two/Fortran2008/intrinsics_f08.py
@@ -61,20 +61,82 @@ class Intrinsic_Name(F2003_Intrinsic_Name):
 
     f08_math_intrinsics = {
         "ERF": {"min": 1, "max": 1},
+        "ERFC": {"min": 1, "max": 1},
+        "ERFC_SCALED": {"min": 1, "max": 1},
         "GAMMA": {"min": 1, "max": 1},
+        "HYPOT": {"min": 2, "max": 2},
+        "LOG_GAMMA": {"min": 1, "max": 1},
+        "NORM2": {"min": 1, "max": 2},
+    }
+
+    f08_bitsequence_comparison_intrinsics = {
+        "BGE": {"min": 2, "max": 2},
+        "BGT": {"min": 2, "max": 2},
+        "BLE": {"min": 2, "max": 2},
+        "BLT": {"min": 2, "max": 2},
     }
 
     f08_bitshift_intrinsics = {
+        "DSHIFTL": {"min": 3, "max": 3},
+        "DSHIFTR": {"min": 3, "max": 3},
         "SHIFTL": {"min": 2, "max": 2},
         "SHIFTR": {"min": 2, "max": 2},
         "SHIFTA": {"min": 2, "max": 2},
+        "MERGE_BITS": {"min": 3, "max": 3},
+    }
+
+    f08_counting_bit_intrinsics = {
+        "LEADZ": {"min": 1, "max": 1},
+        "POPCNT": {"min": 1, "max": 1},
+        "POPPAR": {"min": 1, "max": 1},
+        "TRAILZ": {"min": 1, "max": 1},
+    }
+
+    f08_masking_bit_intrinsics = {
+        "MASKL": {"min": 1, "max": 2},
+        "MASKR": {"min": 1, "max": 2},
+    }
+
+    f08_bit_transformation_intrinsics = {
+        "IALL": {"min": 1, "max": 3},
+        "IANY": {"min": 1, "max": 3},
+        "IPARITY": {"min": 1, "max": 3},
+    }
+
+    f08_other_intrinsics = {
+        "STORAGE_SIZE": {"min": 1, "max": 2},
+        "PARITY": {"min": 1, "max": 2},
+        "EXECUTE_COMMAND_LINE": {"min": 1, "max": 5},
+        "FINDLOC": {"min": 2, "max": 6},
+    }
+
+    f08_trig_and_hyper_functions = {
+        "ACOSH": {"min": 1, "max": 1},
+        "ASINH": {"min": 1, "max": 1},
+        "ATANH": {"min": 1, "max": 1},
+    }
+
+    f08_bessel_functions = {
+        "BESSEL_J0": {"min": 1, "max": 1},
+        "BESSEL_J1": {"min": 1, "max": 1},
+        "BESSEL_JN": {"min": 2, "max": 3},
+        "BESSEL_Y0": {"min": 1, "max": 1},
+        "BESSEL_Y1": {"min": 1, "max": 1},
+        "BESSEL_YN": {"min": 2, "max": 3},
     }
 
     # Create the dicts (not inherited from F2003_Intrinsic_Name)
     generic_function_names = {}
     generic_function_names.update(F2003_Intrinsic_Name.generic_function_names)
     generic_function_names.update(f08_math_intrinsics)
+    generic_function_names.update(f08_bitsequence_comparison_intrinsics)
     generic_function_names.update(f08_bitshift_intrinsics)
+    generic_function_names.update(f08_counting_bit_intrinsics)
+    generic_function_names.update(f08_masking_bit_intrinsics)
+    generic_function_names.update(f08_bit_transformation_intrinsics)
+    generic_function_names.update(f08_other_intrinsics)
+    generic_function_names.update(f08_trig_and_hyper_functions)
+    generic_function_names.update(f08_bessel_functions)
 
     specific_function_names = F2003_Intrinsic_Name.specific_function_names
 
diff --git a/src/fparser/two/tests/fortran2008/test_intrinsics_2008.py b/src/fparser/two/tests/fortran2008/test_intrinsics_2008.py
index ff54ee60..3ab3bd07 100644
--- a/src/fparser/two/tests/fortran2008/test_intrinsics_2008.py
+++ b/src/fparser/two/tests/fortran2008/test_intrinsics_2008.py
@@ -96,3 +96,32 @@ def test_f2008_intrinsic_f2003_parse(f2003_parser):
     partref = walk(tree, Fortran2003.Part_Ref)
     assert len(partref) == 1
     assert str(partref[0]) == "erf(i)"
+
+
+@pytest.mark.parametrize(
+    "dtype, intrinsic, output",
+    [
+        ("integer", "erf(i)", "ERF"),
+        ("integer", "min(i, i)", "MIN"),
+        ("integer", "dshiftl(i, j, 1)", "DSHIFTL"),
+        ("integer", "popcnt(i)", "POPCNT"),
+        ("integer", "maskl(i, kind=8)", "MASKL"),
+        ("integer, dimension(100)", "iparity(i, 1)", "IPARITY"),
+        ("logical, dimension(100)", "parity(i)", "PARITY"),
+        ("real", "acosh(i)", "ACOSH"),
+        ("real", "bessel_j0(i)", "BESSEL_J0"),
+    ],
+)
+def test_f2008_intrinsic_types(dtype, intrinsic, output, f2008_parser):
+    """Test each subtype of f2008 intrinsics are correctly parsed."""
+    reader = FortranStringReader(f"""subroutine test
+
+    {dtype} :: i, j
+
+    i = {intrinsic}
+    end subroutine test""")
+
+    tree = f2008_parser(reader)
+    intrinsic = walk(tree, Fortran2008.Intrinsic_Name)
+    assert len(intrinsic) == 1
+    assert str(intrinsic[0]) == output