One of very recent origin (probably) is the story of the Grunches.
According to local legends, there is a race of misshapen albino dwarves (or lizard-like creatures) who prey on goats and dogs and sometimes humans. Their supposed hangout is in East New Orleans in the Little Woods area. Reports of seeing them come from time to time; often from teens who elected to park off a shell road for necking or serious fooling around and seeing a goat tethered or being eaten by one of these. The story is, if you see a tied-up goat, then get outa there pronto!
Supposedly these were creatures that were frightening enough that people tended to shy from them; and they became increasingly reclusive and dangerous with time.
After Hurricane Katrina and people began to move back into Lakeview and Gentilly (two New Orleans neighborhoods close by Lake Ponchartrain), stories began to circulate that you should not leave pet dogs or cats outdoors at night lest they be carried off by one of the Grunches. Probably those pets merely took French leave. Pets tend to do that sometimes. And there's always possible malevolent neighbors. No Grunches need apply as those who carry away pets.
These stories are like the spooky stories told elsewhere about the homicidal maniac with a hook on one of his arms. Anyway, the warning stands: Don't park along Grunch Road.
Gannon Road in Little Woods is the locale often referred to as Grunch Road, in case you're interested. Personally, I'd stay away due anyway to the often dangerous members of homo sapiens that to be around in that section of the city.