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That thing you linked me to is for the HPI-1, for less developed countries. Ranked by HDI. The data for HPI-2 is shown below in an awful table (copy paste from excel is pretty awful it turns out).

As you can see NZ doesn't have an HPI rank because there is no data for one of the sections, but in all other sections we are better than the US.

 

Edit: To view full table you'll have to click on 'quote' and then you can use scroll bars.

Edit2: Gah. Link to the excel file is better. http://hdr.undp.org/en/media/HDR_2009_Tables_rev.xls

 

              Probability at birth of not surviving to age 60a†
(% of cohort)
2005–2010
  People lacking functional literacy skillsb†
(% aged
16–65)
1994–2003
  Long-term unemployment
(% of
labour force)
 
2007
  Population living below 50% of median income
2000–2005c
  HPI-2 rank minus income poverty rankd
      Human poverty index (HPI-2)          
HDI rank   Rank   Value
(%)
         
VERY HIGH HUMAN DEVELOPMENT                            
1 Norway   2   6.6   6.6   7.9   0.2   7.1   -6
2 Australia   14   12.0   6.4   17.0 e 0.7   12.2   -4
3 Iceland   ..   ..   5.4   ..   0.1   ..   ..
4 Canada   12   11.2   7.3   14.6   0.4   13.0   -8
5 Ireland   23   15.9   6.9   22.6 e 1.4   16.2   0
6 Netherlands   3   7.4   7.1   10.5 e 1.3   4.9 f 1
7 Sweden   1   6.0   6.3   7.5 e 0.7   5.6   -3
8 France   8   11.0   7.7   .. g 3.1   7.3   -1
9 Switzerland   7   10.6   6.4   15.9   1.5   7.6   -3
10 Japan   13   11.6   6.2   .. g 1.2   11.8 f,h -4
11 Luxembourg   10   11.2   7.8   .. g 1.3   8.8   -4
12 Finland   5   7.9   8.2   10.4 e 1.5   6.5   -1
13 United States   22   15.2   9.7   20.0   0.5   17.3   -2
14 Austria   9   11.0   7.6   .. g 1.2   7.7   -2
15 Spain   17   12.4   7.1   .. g 2.0   14.2   -4
16 Denmark   4   7.7   9.2   9.6 e 0.7   5.6   1
17 Belgium   15   12.2   8.0   18.4 e,i 3.8   8.1   3
18 Italy   25   29.8   6.8   47.0   2.8   12.8   6

 

20 New Zealand   ..   ..   7.6   18.4 e 0.2   ..   ..
21 United Kingdom   21   14.6   7.8   21.8 e 1.3   11.6   5
22 Germany   6   10.1   7.6   14.4 e 4.8   8.4   -7
25 Greece   18   12.5   7.0   .. g 4.1   14.3   -4
26 Korea (Republic of)   ..   ..   8.1   ..   0.0   ..   ..
34 Portugal   ..   ..   8.7   ..   3.7   ..   ..
36 Czech Republic   11   11.2   10.2   .. g 2.8   4.9 f 10