I haven't seen 29TH STREET. Sorry.

The only media outlet I've seen thats done great mob parody was THE SIMPSONS. Years back, in a Treehouse of Horror episode, everyone was given immortality. Cut to the show's mob comedy-stand-ins for "Tony" and his boys trying to kill a snitch with machine guns. They keep pumping him with lead, and he won't die. Eventually, the mobsters just shrug with fustration and leave.

Now thats funny.