More than three grammatical genders
Czech and Slovak: Masculine animate, Masculine inanimate, Feminine, Neuter (traditionally, only masculine, feminine and neuter genders are recognized, with animacy as a separate category for the masculine).
Polish: Masculine animate, Masculine inanimate, Masculine personal, Feminine, Neuter (traditionally, only masculine, feminine and neuter genders are recognized, with animacy as a separate category for the masculine).
Dyirbal: Masculine, feminine, vegetal and other. (Some linguists do not regard the noun class system of this language as grammatical gender.)
Luganda: ten classes called simply Class I to Class X and containing all sorts of arbitrary groupings but often characterised as people, long objects, animals, miscellaneous objects, large objects and liquids, small objects, languages, pejoratives, infinitives, mass nouns
Swahili: 18 noun classes
Zande: Masculine, feminine, animate, and inanimate.