This is the earliest street directory I have found so far which also includes publican detail.
London Street Listings in 1832.
Packers court, Coleman street
Paddington Green, Paddington
Paddington street, Marylebone
Page street, Holywell street, Westminster
Pages Walk, Grange road, Bermondsey
New Palace road, Stangate
Palace street, Pimlico
Palace row, see New road, St Pancras
New Palace yard, Westminster
Palsgrave place, Temple bar
Pancras lane, Queen street, Cheapside
Pancras street, Tottenham court road
Pentechicon Arcade, Belgrave square
Panton street, Haymarket
Panyer alley, Newgate street
Paper buildings, Temple
Paradise row, Chelsea
Paradise row, Rotherhithe
Paradise row, Walworth
Paradise street, Finsbury
Paradise street, Lambeth
Paradise street, Marylebone
Paradise street, Rotherhithe
Paradise street, Horselydown
Paragon place, see New Kent road
Parham place, see Kings road, Chelsea
Parish street, Horselydown
Paris street, Lambeth
Park lane, Piccadilly
Park place, Kennington cross
Park place, Locks fields
Park place, see Mile End road
Upper Park place, Dorset square
Park place, St James's
Park street, Borough
Park street, Dorset street
Park street, Grosvenor square
Great Park street, Lambeth
New Park street, Borough
Park terrace, see Regents park road
Parker street, Drury lane
Parkers row, Dockhead
Park terrace, Liverpool road
Parliament street, Westminster
Parrs place, Goswell road
Parsonage row, see Newington Butts
Parsons street, Ratcliff
Paternoster row, St Pauls
Paul street, Finsbury
Pauls alley, St Pauls
Pauls Bakehouse court, Doctors commons
Pauls Chain, St Pauls Churchyard
Pauls Head court, Fenchurch street
Pavement, Finsbury
Pear Tree court, Clerkenwell
Pear Tree row, Lambeth
Pear Tree street, Goswell street
Pearl crescent, see Bagnigge wells
Pearl row, Bagnigge wells
Great Pearl street, Spitalfields
Pearson street, Kingsland road
Pedlars acre, Lambeth, see Belvedere road
Peerless place, City road
Pelham street, Spitalfields
Pell street, Ratcliffe highway
Pemberton row, Gough square
Pembroke place, see Vauxhall Bridge road
Penlington place, Lambeth
Pennington street, London docks
Penny Fields, Poplar
Pensons place, see Commercial road, Limehouse
Penton place, Pentonville
Penton row, see Walworth road
Penton street, Pentonville
Penton street, Walworth road
Pepper street, Union street, Borough
Percival street, Clerkenwell
Percy street, Tottenham court road
Perrys place, Oxford street
Perseverance terrace, see Church street, Bethnal green
Peter street, Bishopsgate
Peter street, Saffron hill
Great Peter street, Westminster
Little Peter street, Westminster
Peterborough court, Fleet street
Peters hill, Doctors commons
Peters lane, St John street
Petticoat lane, Whitechapel
Pettys court, Hanway street
Philip lane, London wall
Philips street, Kingsland road
Philpot lane, Fenchurch street
Philpot street, Commercial road
Phipp street, Shoreditch
Phoenix place, Ratcliffe cross
Phoenix row, see Blackfriars road
Phoenix street, Spitalfields
Phoenix street, Bloomsbury
Phoenix street, Soho
Great Piazza, Covent garden
Little Piazza, Covent garden
Pichegru place, see London road
Pickering place, St James's
Pickett place, Strand
Pickett street, Strand
Pickleherring, Tooley street
Pierpoint row, see Islington
Pilgrim street, Blackfriars
Pinners court, Old Broad street
Pitfield street, Hoxton
Pitmans buildings, St Lukes
Pitt street, Fitzroy square
Pitts head mews, Mayfair
Pitts place, see Old Kent road
Platt terrace, Pancras road
Playhouse yard, Blackfriars
Playhouse yard, Whitecross street
Pleasant court, Broad wall, Balckfriars
Pleasant place, see Kings cross
Pleasant place, see Old Kent road
Pleasant row, see Kings cross
Pleasant row, Stepney green
Plough court, Lombard street
Plough yard, Seething lane
Plough yard, Shoreditch
Plumber street, City road
Plumbers row, see City road
Plummers row, Whitechapel
Plumtree street, Bloomsbury
Poland street, Oxford street
Pollard street, Bethnal green
Pollen street, Hanover square
Pont street, Sloane street, Chelsea
Pool terrace, City road
Popes head alley, Cornhill
Popham terrace, see New Kent road
Poppins court, Fleet street
Porter street, Soho
Portland mews, Soho
Portland place, see Borough road
Portland road, Marylebone
Portland row, see Camberwell road
Portland street, Soho
Portland street, Walworth common
Great Portland street, Oxford street
Little Portland street, Marylebone
Portman street, Portman square
Portpool lane, Grays inn lane
Portsmouth place, see Lower Kennington lane
Portsmouth street, Lincolns inn fields
Portugal street, Grosvenor square
Portugal street, Lincolns inn fields
Postern row, Tower hill
Pott street, Bethnal green
Potters fields, Tooley street
Powells place, see City road
Powell street, Goswell street
Powell street East, Kings square, St Lukes
Praed street, Paddington
Pratt street, Lambeth
President street East, St Lukes
President street West, Goswell road
Great Prescott street, Goodmans fields
Little Prescott street, Goodmans fields
Priest court, Foster lane
Primrose hill, Salisbury square
Primrose street, Bishopsgate street
Princes place, Cable street
Princes place, see Commercial road
Princess place, Kennington road
Princes place, see Westminster road
Princes road, Lambeth
Princes square, Ratcliffe highway
Princes square, Wilson street, Finsbury
Princes street, Bank
Princes street, Barbican
Princes street, Bedford square
Princes street, Cavendish square
Princes street, Drury lane
Princes street, Finsbury square
Princes street, Hanover square
Princes street, Lambeth
Princes street, Leicester square
Princes street, Lincolns inn fields
Princes street, Lisson grove
Princes street, Mile end New town
Princes street, Rotherhithe
Princes street, Spitalfields
Princes street, Edgware road
Princes street, Stamford street
Princes street, Union street, Borough
Princes street, Westminster
Princes square, Finsbury
Princess square, Kennington
Princess terrace, Lambeth
Printers court, Shoe lane
Printers place, Bermondsey
Printing house lane, Blackfriars
Printing house square, Blackfriars
Prior place, see East street, Walworth
Prospect row, Dock Head
Prospect place, Chelsea
Prospect place, see Kingsland road
Prospect place, see Old Kent road
Prospect place, see Mile end road
Prospect Place, Southwark
Prospect place, Walworth road
Prospect place, see New Kent road
Providence buildings, see New Kent road
Providence place, see Commercial road
Providence place, Finsbury
Providence row, Finsbury
Providence street, Westmoreland place, City road
Provost street, City road
Prujean square, Old Bailey
Pudding lane, Eastcheap
Pulham place, see Kings road, Chelsea
Pullens row, see Islington
Pulteney court, Golden square
Great Pulteney street, Golden square
Little Pulteney street, Golden square
Pump court, Temple
Pump court, Union street, Borough
Pump row, see Old street road
Pump yard, Ratcliffe cross
Punderson place, see Bethnal green road
Purbeck place, Lambeth