Initially the English edition, with the streets of London, was also manufactured and published. Only much later the so-called "New Zealand Edition" was issued. Mostly the properties in a Parker Brothers/Hasbro issue are those of the countries capital. However, in this case it concerns (like f.e. in the Dutch and Swiss editions) a number of cities of the country.
It was Duncan Macleod from the Gold Coast, Australia who could tell me from which 22 cities the streets were chosen.

The spaces of the New Zealand editions are from GO onwards:

Palmerston Street (Westport - South Island) - Community Chest - Mackay  Street (Greymouth - South Island) - Income Tax - Balclutha Station (South Island) - East Street (Asburton - South Island) - Chance - Stafford  Street (Timaru - South Island) - Thames Street (Oamaru - South Island) - In Jail - Gladstone Road (Gisborne - North Island) - Electric Company - Marine Parade (Napier - North Island) - Bank Street (Whangarei - North Island) - Taumarunui Station (North Island) - Devon Street (New Plymouth - North Island) - Community Chest - Rangitikei Street (Palmerston North - North Island) - Victoria Avenue (Wanganui - North Island) - Free Parking - High Street (Picton - South Island) - Chance - Market Street (Blenheim - South Island) - Trafalgar Street (Nelson - South Island) - Kaikoura Station (South Island) - Cameron Road (Tauranga - North Island) - Fenton Street (Rotorua - North Island) - Water Works - Garden Place(Hamilton - North Island) -  Go to Jail - Dee Street (Invercargill - South Island) - Princes Street (Dunedin - South Island) - Community Chest - Cathedral Square (Christchurch - South Island) - Frankton Junction (Hamilton - North Island) - Chance - Lambton Quay (Wellington - capital of the country) - Super Tax  and Queen Street (Auckland - largest city of the country).

Edition: Standard - London edition with separate board
              "Mini box" - red - Trade Mark 711981
Publisher: John Waddington Ltd./Thos Holdsworth & Sons Ltd. - ±1953
Dimensions of the box:16.4 x 19.3 x 2.7 cm
                  of the board: 49.0 x 49.5 cm 
The game:
This edition with the streets of London is in all details exactly the same as the one manufactured in the UK (London/Leeds) in the fifties. The red bordered sticker with "lokomotives illustration" under the word Monopoly clearly says: "Manufactured in N.Z. by Thos. Holdsworth & Sons Ltd. under Licence  to John Waddington Ltd.".

The railways in Great Britain were nationalised in 1948 and from then on were called British Railways. The featured stations were L.N.E.R. owned before this. Since the game board's stations are here of the British Railways, the set must be from after 1948. 
The 1950s and 1960s were what I will call “the copyrightless era”. On the one side Waddington’s lokomotives illustration is still used, while on the other side Parker Brothers' copyright is mentioned not until from 1961. On the mini box of the English, Australian and New Zealand editions is only Trade Mark with or without the number 711981. (The meaning of this number is not clear yet.) That is why I assume this set with its very special flat tokens was issued around 1953. 

Features of this edition are:

This set was manufactured in New Zealand.

This set was sold on the ebay auction site for US$ 154.49 in March 2000. 

Edition: Standard - New Zealand edition, Stock No. 2321
Publisher: Waddington's Games Ltd./Thos.Holdsworth & Sons Ltd. - ±1960
Dimensions of the box: 25.8 x 50.2 cm
The game:
This first (?) New Zealand edition was issued by the same manufacturer as of the earlier mentioned London edition. 
The reasons to decide to place the issue of this edition around 1960 are:

Because New Zealand is member of the Commonwealth it is obvious that the design is that of Waddington, i.e.:

Typical and special for this edition is:

The solid game board's fold is perpendicular on side one and it's back can be dark green or pink. The innerbox contains a red cardboard insert only showing MONOPOLY in large characters and a white plastic "banker's tray" for the 7 banknotes. The bottom of the box is white.
The banknotes say "Registered Trade Mark" and "© All Copyrights Reserved". The 7 denominations in N.Z. dollars are: 1 - 5 - 10 - 20 - 50 - 100 and 500.
The back of the Chance cards is dark pink and that of the Community Chest cards is blue.
Although the rim of the lid says "for up to 6 players" there are 10 of those well-known metal tokens: boat - shoe - rider-on-horse - iron - car - wheel barrow - thimble - canon - hat and dog.
The green houses and red hotels are of plastic and have tiles as well as a chimney. 
Both dice are white with black pips.

This edition in a long box was manufactured in New Zealand.

Edition: Standard - New Zealand edition, Ref. No. 04400779IEN 
Publisher: Parker Brothers/Hasbro Int., Inc. -1996       
Dimensions of the box: 25.4 x 50.5 cm
The game:
Whereas the1960 design was only according to Waddington in this version the Parker Brothers influence is obvious: Although the engines on the railway stations are still the green ones pointing backwards 

The only place where the Ref.No. is shown is on the Rules and nowhere on the box.

The innerbox contains an insert of white plastic in which the rooms for the cards and the banknotes are filled up with cardboard filling pieces. The bottom of the box shows a black and white picture of the game board with the money and property cards of 4 players around it. 
The fold of the board (with red back) is parallel to the first side in this issue. The rent of the unimproved yellow street Garden Place is $ 24.- now.
Although these Rules say the game is for "up to 6 players" there are 10 tokens supplied, viz.: boat - car - iron - thimble - rider-on-horse - hat - dog - canon - shoe and  wheel barrow.
The 7 denominations of the banknotes (showing "copyright 1996 Hasbro Int.Inc.") in NZ$ are: 1 - 5 - 10 - 20 - 50 - 100 and 500.
The green houses and red hotels are of plastic and have tiles as well as a chimney. 
Both dice are white with black pips.

This is most probably the last edition that is Made in New Zealand by Hasbro NZ Ltd.

Edition: Standard - New Zealand edition, Ref. No. 04400 NZ
Publisher: Parker Brothers/Hasbro Int., Inc. -1999
Dimensions of the box: 25.4 x 50.5 cm
The game:
This issue resembles the 1996 very much (incl. the banknotes) except for:

The price of this set amounted to NZ$ 40.- (=  € 19.60) in April 2001.

Edition: Standard - New Zealand edition, Ref. No.00009.283
Publisher: Parker Brothers/Hasbro Inc. - 2000
Dimensions of the box: 26.8 x 40.0 cm
The game:
This edition is a sample of the "new look" according to the new standard since 1996 of all of Hasbro's games boxes. The fresh white and red box shows a red bar and a part of the fourth side of the board in color. So herewith the long box we called Standard so far disappears!
This new box (with ref.14535 in Europe and 00009 in the USA  and New Zealand) contains a white plastic tray insert with newly shaped slots for the banknotes and title cards of the banker. (The number 283 indicates the country).
The board is folded in four and its back side is blue, the play side being light green. The set is manufactured in China and contains the same black and white picture of the game board and banknotes at the back of the box as the preceding long boxes. 
The white 1996-dated Chance cards have dark red ? in a frame, while the Community Chest cards have a light blue treasure chest in a frame at the backside. The banknotes are those of the 1996 issue.
As a sticker on the lid is announcing the number of tokens is extended with the new moneybag token, although the game is said to be "for 2 to 8 players". 
The green, plastic houses and red hotels do have tiles and a chimney. 
Both dice are white with black pips.

This edition is also Made in China C-267A.

The price of this set amounted to NZ$ 35.- (=  € 17.15) in March 2001.