When searching 17th-18th Century Burney Collection, be sure to look for the periodicals below:
Whitehall Evening Post
Gazetteer and London
London Evening Post
General Evening Post
London Daily Post and General Advertiser
London Chronicle or Universal Evening Post
St. James Chronicle
Morning Chronicle and London Advertiser
Morning Post
Lady's Magazine, from 1773 to 1808, is available in this database.