位冠[ikan] ancient headgear showing rank
衣冠[ikan] kimono and ancient head-dress
栄冠[eikan] laurels
王冠[oukan] crown
加冠[kakan] crowning a boy with a traditional cap for the first time at a coming-of-age ceremony

花冠[kakan] corolla (of flower)
冠を曲げる[kanmuriwomageru] to become displeased
冠位[kani] system indicating court ranks by headgear colors (colours)
冠婚葬祭[kankonsousai] important ceremonial occasions in family relationships
冠詞[kanshi] article

千羽鶴[senbazuru] (string of) many (traditionally 1000) paper cranes
掃き溜めに鶴[hakidamenitsuru] a jewel in a dunghill
田鶴[tazu] crane (any bird of the family Gruidae, esp. the red-crowned crane, Grus japonensis)
鶴嘴[tsuruhashi] pickaxe
折鶴[orizuru] folded paper crane

鶴首[kakushu] looking forward to
丹頂鶴[tanchouzuru] red-crowned crane
鶴首して待つ[kakushushitematsu] to wait expectantly
鶴科[tsuruka] Gruidae
真名鶴[manazuru] white-naped crane (Grus vipio)