As promised, here comes the list of modules which successfully compile with MinGW:


./Python-3.1.3/PC/import_nt.o
./Python-3.1.3/PC/_subprocess.o
./Python-3.1.3/PC/dl_nt.o
./Python-3.1.3/PC/msvcrtmodule.o
./Python-3.1.3/PC/winreg.o
./Python-3.1.3/Parser/pgen.o
./Python-3.1.3/Parser/grammar1.o
./Python-3.1.3/Parser/parser.o
./Python-3.1.3/Parser/listnode.o
./Python-3.1.3/Parser/parsetok.o
./Python-3.1.3/Parser/tokenizer.o
./Python-3.1.3/Parser/printgrammar.o
./Python-3.1.3/Parser/myreadline.o
./Python-3.1.3/Parser/firstsets.o
./Python-3.1.3/Parser/metagrammar.o
./Python-3.1.3/Parser/grammar.o
./Python-3.1.3/Parser/acceler.o
./Python-3.1.3/Parser/node.o
./Python-3.1.3/Parser/bitset.o
./Python-3.1.3/Python/getcompiler.o
./Python-3.1.3/Python/codecs.o
./Python-3.1.3/Python/pystrtod.o
./Python-3.1.3/Python/pyfpe.o
./Python-3.1.3/Python/getargs.o
./Python-3.1.3/Python/modsupport.o
./Python-3.1.3/Python/getopt.o
./Python-3.1.3/Python/formatter_unicode.o
./Python-3.1.3/Python/mysnprintf.o
./Python-3.1.3/Python/pyctype.o
./Python-3.1.3/Python/sysmodule.o
./Python-3.1.3/Python/errors.o
./Python-3.1.3/Python/pymath.o
./Python-3.1.3/Python/pythonrun.o
./Python-3.1.3/Python/pystrcmp.o
./Python-3.1.3/Python/pystate.o
./Python-3.1.3/Python/getversion.o
./Python-3.1.3/Python/_warnings.o
./Python-3.1.3/Python/Python-ast.o
./Python-3.1.3/Python/frozen.o
./Python-3.1.3/Python/getcopyright.o
./Python-3.1.3/Python/asdl.o
./Python-3.1.3/Python/pyarena.o
./Python-3.1.3/Python/importdl.o
./Python-3.1.3/Python/compile.o
./Python-3.1.3/Python/dtoa.o
./Python-3.1.3/Python/getplatform.o
./Python-3.1.3/Python/traceback.o
./Python-3.1.3/Python/ceval.o
./Python-3.1.3/Python/mystrtoul.o
./Python-3.1.3/Python/thread.o
./Python-3.1.3/Python/symtable.o
./Python-3.1.3/Python/structmember.o
./Python-3.1.3/Python/future.o
./Python-3.1.3/Python/graminit.o
./Python-3.1.3/Python/peephole.o
./Python-3.1.3/Python/marshal.o
./Python-3.1.3/Python/import.o
./Python-3.1.3/Python/bltinmodule.o
./Python-3.1.3/Python/dynload_win.o
./Python-3.1.3/Python/ast.o
./Python-3.1.3/Modules/sha512module.o
./Python-3.1.3/Modules/socketmodule.o
./Python-3.1.3/Modules/expat/xmltok.o
./Python-3.1.3/Modules/expat/xmlrole.o
./Python-3.1.3/Modules/expat/xmlparse.o
./Python-3.1.3/Modules/_csv.o
./Python-3.1.3/Modules/_randommodule.o
./Python-3.1.3/Modules/errnomodule.o
./Python-3.1.3/Modules/_weakref.o
./Python-3.1.3/Modules/arraymodule.o
./Python-3.1.3/Modules/symtablemodule.o
./Python-3.1.3/Modules/zipimport.o
./Python-3.1.3/Modules/sha256module.o
./Python-3.1.3/Modules/mmapmodule.o
./Python-3.1.3/Modules/_ctypes/_ctypes_test.o
./Python-3.1.3/Modules/_ctypes/libffi/src/prep_cif.o
./Python-3.1.3/Modules/_ctypes/libffi/src/x86/ffi.o
./Python-3.1.3/Modules/_ctypes/libffi/src/x86/win32.o
./Python-3.1.3/Modules/_ctypes/callbacks.o
./Python-3.1.3/Modules/_ctypes/stgdict.o
./Python-3.1.3/Modules/_ctypes/_ctypes.o
./Python-3.1.3/Modules/_ctypes/callproc.o
./Python-3.1.3/Modules/_ctypes/malloc_closure.o
./Python-3.1.3/Modules/_ctypes/cfield.o
./Python-3.1.3/Modules/operator.o
./Python-3.1.3/Modules/posixmodule.o
./Python-3.1.3/Modules/md5module.o
./Python-3.1.3/Modules/timemodule.o
./Python-3.1.3/Modules/_functoolsmodule.o
./Python-3.1.3/Modules/datetimemodule.o
./Python-3.1.3/Modules/cmathmodule.o
./Python-3.1.3/Modules/zlibmodule.o
./Python-3.1.3/Modules/_threadmodule.o
./Python-3.1.3/Modules/itertoolsmodule.o
./Python-3.1.3/Modules/_lsprof.o
./Python-3.1.3/Modules/_tkinter.o
./Python-3.1.3/Modules/getbuildinfo.o
./Python-3.1.3/Modules/_collectionsmodule.o
./Python-3.1.3/Modules/_localemodule.o
./Python-3.1.3/Modules/_io/iobase.o
./Python-3.1.3/Modules/_io/bytesio.o
./Python-3.1.3/Modules/_io/stringio.o
./Python-3.1.3/Modules/_io/_iomodule.o
./Python-3.1.3/Modules/_io/textio.o
./Python-3.1.3/Modules/_io/bufferedio.o
./Python-3.1.3/Modules/_io/fileio.o
./Python-3.1.3/Modules/_struct.o
./Python-3.1.3/Modules/_codecsmodule.o
./Python-3.1.3/Modules/selectmodule.o
./Python-3.1.3/Modules/rotatingtree.o
./Python-3.1.3/Modules/sha1module.o
./Python-3.1.3/Modules/unicodedata.o
./Python-3.1.3/Modules/parsermodule.o
./Python-3.1.3/Modules/xxsubtype.o
./Python-3.1.3/Modules/_heapqmodule.o
./Python-3.1.3/Modules/audioop.o
./Python-3.1.3/Modules/_multiprocessing/win32_functions.o
./Python-3.1.3/Modules/_multiprocessing/semaphore.o
./Python-3.1.3/Modules/_multiprocessing/pipe_connection.o
./Python-3.1.3/Modules/_multiprocessing/multiprocessing.o
./Python-3.1.3/Modules/_multiprocessing/socket_connection.o
./Python-3.1.3/Modules/_bisectmodule.o
./Python-3.1.3/Modules/gcmodule.o
./Python-3.1.3/Modules/_sre.o
./Python-3.1.3/Modules/_json.o
./Python-3.1.3/Modules/mathmodule.o
./Python-3.1.3/Modules/signalmodule.o
./Python-3.1.3/Modules/pyexpat.o
./Python-3.1.3/Modules/binascii.o
./Python-3.1.3/Modules/_pickle.o
./Python-3.1.3/Objects/unicodeobject.o
./Python-3.1.3/Objects/enumobject.o
./Python-3.1.3/Objects/codeobject.o
./Python-3.1.3/Objects/methodobject.o
./Python-3.1.3/Objects/moduleobject.o
./Python-3.1.3/Objects/cobject.o
./Python-3.1.3/Objects/exceptions.o
./Python-3.1.3/Objects/floatobject.o
./Python-3.1.3/Objects/unicodectype.o
./Python-3.1.3/Objects/bytesobject.o
./Python-3.1.3/Objects/weakrefobject.o
./Python-3.1.3/Objects/fileobject.o
./Python-3.1.3/Objects/structseq.o
./Python-3.1.3/Objects/memoryobject.o
./Python-3.1.3/Objects/dictobject.o
./Python-3.1.3/Objects/classobject.o
./Python-3.1.3/Objects/setobject.o
./Python-3.1.3/Objects/object.o
./Python-3.1.3/Objects/obmalloc.o
./Python-3.1.3/Objects/cellobject.o
./Python-3.1.3/Objects/descrobject.o
./Python-3.1.3/Objects/tupleobject.o
./Python-3.1.3/Objects/typeobject.o
./Python-3.1.3/Objects/genobject.o
./Python-3.1.3/Objects/iterobject.o
./Python-3.1.3/Objects/listobject.o
./Python-3.1.3/Objects/bytearrayobject.o
./Python-3.1.3/Objects/frameobject.o
./Python-3.1.3/Objects/boolobject.o
./Python-3.1.3/Objects/longobject.o
./Python-3.1.3/Objects/funcobject.o
./Python-3.1.3/Objects/complexobject.o
./Python-3.1.3/Objects/rangeobject.o
./Python-3.1.3/Objects/capsule.o
./Python-3.1.3/Objects/bytes_methods.o
./Python-3.1.3/Objects/abstract.o
./Python-3.1.3/Objects/sliceobject.o