Based on the sample data:
I would start at the end of the string. Parse a Zip-code (either format). Read end to first space. If no Zip Code was found Error.
Trim the end then for spaces and special chars (commas)
Then move on to State, again use the Space as the delimiter. Maybe use a lookup list to validate 2 letter state codes, and full state names. If no valid state found, error.
Trim spaces and commas from the end again.
City gets tricky, I would actually use a comma here, at the risk of getting too much data in the city. Look for the comma, or beginning of the line.
If you still have chars left in the string, shove all of that into an address field.
This isn't perfect, but it should be a pretty good starting point.