Air cleaner assemblies, components, features and methods of assembly and use are described. Example air cleaner assemblies are depicted and described in which a main filter cartridge sealing surface is recessed from an open end of a housing body. An access cover of the housing is configured with a portion extending inwardly to engage a main filter cartridge portion and bias it against the main filter cartridge sealing surface. In selected assemblies, the portion of the access cover extending inwardly toward the main filter cartridge, is a precleaner having flow separator tubes therein.