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

御食い初め[okuizome] weaning ceremony
為初め[shisome] outset
為初める[shisomeru] to begin to do
仮初[karisome] temporary
業界初[gyoukaihatsu] the industry's first ...

月初め[tsukihajime] beginning of month
最初[saisho] beginning
初めに[hajimeni] to begin with (used as an introduction)
初めは[hajimeha] at first
手初めに[tehajimeni] at first