Search the historical London street directory and pub history site by surname, street or pub name; you will find many obscure early street addresses in London through the Victorian pub history of London and early parish and licensing records on this site. Most records are before 1944 plus some modern detail, and lots of pictures.
From the 1910 Post Office Directory, this excludes the Publicans listed at named Pubs in the Directory. The Directory does not include Public House names, just an address. This is fine for double checking names and places; but lacks the modern naming convention of a Public House and its named sign.
I will add links from these pages as I am able; but please help me out here. It is often difficult through the documentation that exists to match an address to a Pub name as much of this is through word of mouth, i.e. a Public House is often known by it's name to the locals, rather than through any record system.