Global models
FNMOC
GFS model for Aus / NZ
NOGAPS model for Aus / NZ
MyWxMap options

IGES/COLA MRF

JMA model for SH (wetterzentrale)

GFS model for Ausralia & NZ (wetterzentrale)

MetVUW
NZ charts based on US NWS WAFS data
+6 | +12 | +18 | +24 | +30 | +36 | +42 | +48 | +60 | +72

Synoptic charts on Laurier Williams' Australian Weather News

FNMOC Ensemble Forecast System (EFS) produces forecasts out to 10 days updated twice daily.

EFS 500 HPa Single Contour (5640m) Probability covering SH
000 - 024 - 048 - 072 - 096 - 120 - 144 - 168 - 192 - 216 - 240 - ALL - Java Movie*
EFS GALE Probability incl NZ Sth SI & Stewart Is
000 - 012 - 024 - 036 - 048 - 060 - 072 - 084 - 096 - 108 - 120 - 132 - 144 - 156 - 168 - 180 - 192 - 204 - 216 - 228 - 240 - ALL - Java Movie*
EFS PRECIPITATION Probability incl NZ Sth SI & Stewart Is
012 - 024 - 036 - 048 - 060 - 072 - 084 - 096 - 108 - 120 - 132 - 144 - 156 - 168 - 180 - 192 - 204 - 216 - 228 - 240 - ALL - Java Movie*
* indicates a large file

NOAA's Ensemble Forecasts
take the mean of 17 runs with nearly identical starting conditions ...
Description
ENS SH chart options (forecasts to 15 days), including
Animated MSLP and 500MPa thickness and same with larger images
Animated spagetti models demonstrate degree of uncertainty
Global precipitation probability

NCEP
discussions give an insight into the running of these models and why there may be a delay in output.

Atmospheric Model Intercomparison Project gives some detail about various models.

University of Hawaii Meteorology Department
wind, pressure, mosture, temperature
WARNING: The animation options take ages to load (>3MB)

WeatherZone.Com.Au
Includes GASP & LAPS from BOM - requires free registration - worth the wee effort - Includes these that relate best to NZ weather:

LAPS MSLP & 500hPa Thickness
Anal | +24 | +36 | +48
LAPS +12 Total Totals
+12 | +24 | +36
LAPS Precipitation
+24 | +36 | +48
LAPS Upper Charts +24 hrs
850hPa | 700hPa | 500hPa | 250hPa
GASP MSLP
D2/D3 | D4/D5 | D6/D7
GASP Precipitation
D1 | D2/D3 | D4/D5 | D6/D7
GASP 700 Relative Humidity
D0/D1 | D2/D3 | D4/D5 | D6/D7
GASP Total Totals
D0/D1 | D2/D3 | D4/D5 | D6/D7
GASP 850 Temperature
D0/D1 | D2/D3 | D4/D5 | D6/D7

European Centre for Medium Range Weather Forecasts Australasian charts (days from analysis):
MSL pressure and 850hPa wind speed
500hPa geopotential height

Unisys organises some NWP charts into panels including these ones for Australasia:
Aviation (AVN) sets with a good range of variables available, andthis panel with
MRF (medium range forecasts) of mean sea level pressure (MSLP) and 1000 hPA heights.
500 hPa & MSLP Southern Hemisphere

Meteorological Data Servers for Climate, Weather Analyses & Weather Forecasts
Data from various NCEP models - you can customise charts (past & forecast)
AVN, MRF

NOAA ARL READY include
Meteogram forecasts NZCH, NZWN, NZAA and choose models AVN 191 km or MRF 191 km

IGES provides 10 - 14 day climate forecasts (these one for NZ & Aus) of:
precipitation and
temperature and
soil moisture