This is the earliest street directory I have found so far which also includes publican detail.
London Street Listings in 1832.
Keat street, Spitalfields
Keens row, see Walworth road
Kemps row, see Pimlico road
Kent street, Borough
Kenton street, Brunswick square
Keppel Row, see New road, Marylebone
Keppel street, Chelsea
Keppel street, Russell square
Kinaston street, Oakley street, Lambeth
King square, St Lukes
King street, Aldgate
King street, Borough
King street, Cheapside
King street, Clerkenwell
King street, Cloth Fair
King street, Commercial road
King street, Covent Garden
King street, Drury lane
King street, Finsbury
King street, Golden square
King street, Grosvenor square
King street, Holborn
King street, Portman square
King street, Rotherhithe
King street, Seven Dials
King street, St James's
King street, Snow Hill
King street, Soho
King street, St Lukes
King street, Tower Hill
King street, Wapping
King street, Westminster
Upper King street, Bloomsbury
King street mews, Grosvenor square
King street terrace, Islington
Kings Cross, Battle Bridge
King David lane, Shadwell
King Edward street, Garden street, Whitechapel
King James stairs, Shadwell
Kings mews, Charing Cross
Kings mews, Kings road, Bedford square
Kings place, see Commercial road
Kings place, Stones End, Borough
Kings Cross, Little Battle Bridge
Kings road, Bedford row
Kings road, Chelsea
Kings row, Gainsford street, Horselydown
Kings row, see Newington butts
Kings row, see New road, Pentonville
Kings row, see Pimlico
Kings Arms buildings, Change alley
Kings Arms buildings, Wood street, Cheapside
Kings arms court, Whitechapel
Kings arms yard, Coleman street
Kings Bench walk, Temple
Kings head court, Barbican
Kings head court, St Pauls
Kings head court, Shoe lane
Kingsgate street, Holborn
Kingsland crescent, see Kingsland road
Kinnerton street, Knightsbridge
Kirby street, Hatton garden
Great Knightrider street, Doctors commons
Little Knightrider street, Doctors commons
Knightsbridge, High road
Knightsbridge, Park side
Knowles court, Doctors commons