you could do the following:
try:
do_stuff()
except (SyntaxError, <any other exception>):
raise # simply raises the catched exception
except Exception:
print "yes, it's catching EVERYTHING"
In addition, unless it is really what is wanted, except should never be used without exception specification since it will also catch KeyboardInterrupt and GeneratorExit. Exception should be specified at least; see the builtin exception hierarchy.
Note that, as @tobias_k stated in its below comment, the SyntaxError is detected before actually running the script, so it should not be needed to catch it.
For the challenge I looked for a way to actually catch a SyntaxError and the only case I found is the following (but there are other cases, see @brunodesthuilliers's comment):
try:
eval(input('please enter some Python code: '))
except SyntaxError:
print('oh yeah!')
$ python syntax_error.py
please enter some Python code: /
oh yeah!
My conclusion is that if you need to catch SyntaxError, this means your codebase does some stuffs even uglier than what you showed us... I wish you a lot of courage ;)