Filie Volcani, The LSJ is actually somewhat inconsistent in its methοdology, and is quite minimalist in that it only lists what is not predictable from the rules of word formation and so forth that at least a beginning student should know. It gives the "unexpected," e.g.,
ἄνθρωπος, ὁ, Att. crasis ἅνθρωπος, Ion. ὥνθρωπος, for ὁ ἄνθρ-:—man...
It lists the gender, but not the genitive. Why? Because as a second declension noun, the genitive is predictable, but the while most 2nd declension -ος are masculine, some are not, and therefore it's not predictable. Similarly it will often list dialectical variations, unexpected stem changes, and so forth.
The recent BrillDAG (Brill Dictionary of Ancient Greek), however, has:
ἄνθρωπος -ου, ὁ, ἡ ⓐ usu. masc. human, human being, person, man (in generic or individual sense)...
Which gives not only everything you would need for the noun, but a more accurate definition by 21st century lexigraphical standards.
But being inconsistent, the LSJ will sometimes list all the "good stuff," though not in the order you might expect from your beginning textbooks. Still, being a lexicon its greatest value is that it list actual references in the primary literature where the citation supporting the definition can be found. BrillDAG, with more consistent methodology and more up to date linguistic theory, is a good supplement for in depth work but not a substitute for the LSJ. It is a good substitute for the intermediate LSJ, what we used to call the "middle Liddel."