Quite a few of these are not within the city of Liverpool, as governed by the city council, but in nearby boroughs like Sefton(Bootle, Formby, Crosby) and Knowsley (Huyton) - My list here may not be exhaustive
Corrected, there is now a greater selection of areas that all have an 'L' postcode and the quiz title now includes both Liverpool and Merseyside, thanks