Sun Tzu There is no way that is the worst losing streak.
... it really depends just how far down the League/Pyramid you wish to go.
Its a bit difficult as most of the current search engines don't regard football as existing below (or certainly before) the Premiership!
Closest I could get to a long run of defeats at that level was the 'Mackems' - twice recently hit the 20 straight defeats mark.
Down
below STEP06 of the NL Pyramid where AFC Aldermaston currently play (i.e thats the equivalent level to Wokingham, Henley, Newbury) there may well be a few sides who've gone a season and more without even a draw - trouble is a lot of these leagues may contain sides with a 0% record but County level divisions rarely have many more than about a dozen teams at each tier.
They'd have to have gone w/o so much as a point for almost two seasons.
Certainly AFC Aldermaston are said to have broken a record of sorts but no-one seems clear on just who had the record before.
The NL thread on here quotes the BBC news site from last week, which covered their 39th straight loss H v Downton -
(which I attended - as did a BBC South Cameraman) It mentioned a team called 'Stockport' nearly breaking the record in 1996. Usual shoddy journo didn't say whose record it originally was!
It clearly can't be 'County' who were doing quite well in the mid-90s - but someone elsewhere has mused it might be a team called 'Stockport United' who presumably hail from some diddlywhack 'Manc Local league' - I've had a look around the normal lower level NL sites and they don't seem to exist under that name now.
If anyone posts a relevant update on the NL Forum I'll put it on here - but I can't be @rsed to trawl any deeper for a definitive answer - there is usually a 'Pointless' thread

each season on the NL Forum, so I could start looking back through that to see who's done particularly badly for the last couple of seasons - but I doubt if there is a worse record than AFC Aldermaston in recent NL history.
UPDATE : Just read another NL Forum thread re worst GD - on there two possible candidates have emerged for a losing sequence as bad as Aldermaston's :-
Weston St Johns Somerset League Divison 2 1999-2000 P34 L34
- the previous season they only got 5 points - so they must be likely - but this is seriously low level only for the multi-lined Anorak
- ironically they must have picked up a bit afterwards cos they were until quite recently up in the Western Division OneBlidworth Welfare Northern Counties East Div One 1997/98 P28 L28