Okay, so, I have tried not to count the ones you have already mentioned above, and this is what I have got so far:
William Lawson, '2' (Hornby)
Thomas Black '49' (Bachmann, triple set with next two wagons)
Tinsley Park Collieries '2241' (as above)
Newton Chambers '3751' (as above)
Renishaw Iron '917' (Oxford Rail)
Nunnery Colliery '1574' (limited edition, by Bachmann for Geoffrey Allison)
Manchester & Sheffield Tar Works '19' (limited edition, by Bachmann for Rails)
Sheffield & Ecclesall Co-op 'No 13' (limited edition, by Dapol for unknown)
T.C.D. Ltd '171' (Mainline)
I can also confirm that the Sheffield Chemical Co tank and the Longbottom & Co open wagon on your intial list are both limited editions (respectively for Rails and TMC/Modelzone)
Now this list is only of wagons which are classified as the 'Sheffield' district - I have many others which cover Rotherham, Doncaster, Barnsley, Chesterfield, Bolsover districts, amongst others! But I have been collecting these local wagons for around 23 years now, even when I lost interest I didn't sell them as I guessed the interest would come back haha.