please empty your brain below

I still haven't solved the mystery of why my (very short) road runs from 2-14 on one side, and 9-19 on the other. The two terraced sides are directly opposite each other, and bounded at either end by other roads which are either contemporary with (1890s) or pre-date mine.
Hillingdon seems to be blessed with long roads and high number addresses. Used to live at 328 Eastcote Lane, and nowhere near the end of the road. It was helped (and may explain some of the imbalance on other roads) by the number of maisonettes.

Sarah above, I used to live at No7 on a road who's odd numbers on the road started at 21. My house was, along with No's 1-19, stuck up a little side path. The next place the numbers jumped from the low twenties to 40, with no reason current or historical.

The current one just has a name and a village three miles away as an address. A postman's lot is not a happy one (if it's a letter for me).
A street near me has a larger numerical discrepancy between odds and evens, in relative terms at least, than any of those you list. The evens go from 2 to 66. The odds stop at No 1.
When there's a cul de sac on one side of a road, the numbers go all around it.
My road begins with 1 and 3 on the left, 2 and 4 on the right, then the cul de sac on the left where I live is 5 to 23, so 25 on the main road is opposite no.6
My road starts off as wholly sequential before swapping to conventional odds and evens. But development took place at different times, and the authorities of the day allocated enough numbers for Victorian-sized terraced houses. The semis built since means there are now lots of gaps - 53 to 81 are missing, while 101 is next to 117. Though broadly facing each other, the even side ends up about 20 numbers higher than the odd.
One of my vivid memories from visiting London as a child is being amazed to see some house numbers over 1000. It made London feel unimaginably huge compared to my northern hometown.
The highest number in Green Lane is 1148 (Andrew Bass Pharmacy).

dg writes: extended, thanks!
Here in Huddersfield Manchester Road has some high numbers, and exhibits some odd resets. Heading out of Huddersfield, the numbers reset at the border between Milnsbridge and Linthwaite, from 1021 and 832 to 387 and 460, and again further up in Slaithwaite, where the numbers reset to 1 and 2 after getting as high as 1442D, except the odds and evens switch sides. By Marsden the numbering just breaks down, the houses so sparse that each block has its own set of numbers rather than continue the pretence of continuity.
As others have noted, some old streets have some peculiar numbering sequences. Sometimes what appears to be rows of contemporaneously built housing is nothing of the sort. In my experience, the side roads from an older road containing Victorian built shops with dwellings above. The middle properties of the older road had separate entrances for the dwellings next the shop front. The properties on the ends of the shop line had their dwelling 'front' doors placed and numbered relating to the side roads. The side road numbering would then continue from the initial sequence started by the flats from the main road. Further division occurred further along the side roads as there was only a short run of houses either side at the beginning of the run then the remainder were purpose built Edwardian flats (look like houses from the front. With demolition, redevelopment it can all get very confusing.
To go to the other extreme, Emsworth Street SW2 has no houses at all, being a cut-through between Amesbury and Downton Avenues.
Lots of London numbering was cleaned up by the metropolitan board of works.

For example the particular bit of New Cross Road where I live was renamed and renumbered by the MBW and their minutes can be found online here.

Annoyingly I could not find the "Plan now produced marked B" which gives more details on how the renumbering worked in the LMA which is annoying when trying to trace back the history of my house.
Cranmer Road in Ham is another example of a street with no frontages: it connects Tudor Drive with Cardinal Avenue. Locally we also have a pair of semi-detatched houses on a corner plot which are both numbered 82 on their respective streets. We also have a pair of culs-de-sac which have been connected together, so the house numbers on each side swap from odds to evens and change direction halfway along - on one side 34 Wingfield Road is next to 65 Kelvedon Close, and on the other side 77 Wingfield Road is next to 82 Kelvedon Close.
I've never worked out why Bristol's Gloucester Rd (section known locally as Pigsty Hill) on the odds side has one section that goes
241 243 245A 247A 249A 251A 253 253B 245 247 249 251 253A 255

All are terraced houses of a similar vintage, except 253B which is an old church, now a theatre.
A Google search reveals there is a 2679 Stratford Road, Solihull.

dg writes: So does paragraph nine.
I have a friend in Chicago who resides at number 11037.
I always feel a bit like the Americans are cheating though - in cities with grid systems, they often increment by 100 or 1000 for each block, even if it means missing out large chunks.
NUMBERED houses? Dear me.

No numbers in my home village. Or not many anyway. One of my neighbours gives his address as "You know, the little white house by the puddle."

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