This is the earliest street directory I have found so far which also includes publican detail.
London Street Listings in 1832.
Eagle Place, Piccadilly
Eagle street, Red Lion square
Earl street, Blackfriars
Earl street, Lisson grove
Earl street East, Lisson grove
Earl street, Finsbury
Earl street, London road
Great Earl street, Seven Dials
Little Earl street, Seven Dials
Earl street, Westminster
Earls Court, Leicester square
Great Eastcheap, Fish street hill
East India Chambers, see Leadenhall street
East place, Kensington road
East lane, Bermondsey
East road, City road
East street, Finsbury market
East street, Hoxton Old town
East street, Kennington road
East street, Manchester square
East street, Red Lion square
East street, Spitalfields
East street, Walworth
East India road, Poplar
East Harding street, Gough square
Easton street, Spa fields
Eaton place, Belgrave square, Pimlico
Eaton square, Pimlico
Lower Eaton street, Pimlico
Ebury square, Pimlico
Ebury street, Pimlico
Little Ebury street, Pimlico
Upper Ebury street, Pimlico
Eccleston place, Pimlico
Eccleston street
Eden place, Hoxton
Edgeware road, Marylebone
Edgeware road, Paddington
Edward street, Bethnal green
Edward street, City road
Edward street, Great Surrey street
Edward street, Hampstead road
Edward street, Portman square
Edward street, Regents Park
Edward street, Wardour street, Soho
Edward street, White Conduit fields
Egremont place, see New Kent road
Elder street, Norton Falgate
Eldon street, Finsbury circus
Eliza place, Sadlers wells
Elizabeth street, Pimlico
Elizabeth place, see Westminster road
Elizabeth street, Hans place, Chelsea
Elliotts row, Southwark
Elliott street, York road, Lambeth
Ellis street, Sloane street, Chelsea
Elm court, Temple
Elm street, Grays inn lane
Ely place, Holborn
Ely place, Mile End New town
Emmet street, Poplar
Esher street, Horseferry road, Westminster
Essex street, Borough
Essex court, Temple
Essex place, see Mile End road
Essex street, Kingsland road
Essex street, Great Guildford street
Essex street, Strand
Ernest street, Regents Park
Essex street, Whitechapel
Everett street, Brunswick square
Ewer street, Union street, Borough
Exchange buildings, Threadneedle street
Exeter street, Sloane street, Chelsea
Exeter street, Lisson grove
Exeter street, Strand
Exmouth street, Commercial road
Exmouth street, Spafields
Eyre street hill, Hatton garden