きへん ki hen
ki hen is almost always to the left side. Below are a few examples that seem to defy that neat definition. I asked 3 Japanese teachers and the consensus is that they are indeed ki hen, maybe.

#1) - 木 || moku - boku - ki || tree - wood - || info...
#2) - 本 || hon - - || book - counter for long, slender objects - || info...
#3) - 札 || satsu - fuda - || bill - paper money - tag || info...
#4) - 森 || shin - mori - || forest - - || info...
#5) - 机 || ki - tsukue - || desk - - || info...
#6) - 橋 || kyou - hashi - || bridge - - || info...
#7) - 村 || son - mura - || village - - || info...
#8) - 椅 || i - - || chair - - || info...
#9) - 権 || ken - - || right - power - || info...
#10) - 材 || zai - - || timber - materials - || info...
#11) - 杯 || sakazuki - hai - || cup - counter for cups - || info...
#12) - 柱 || chuu - hashira - || pillar - - || info...
#13) - 根 || kon - ne - || root - - || info...
#14) - 棒 || bou - - || stick - rod - || info...
#15) - 格 || kaku - kou - || norm - status - || info...
#16) - 検 || ken - - || examine - - || info...
#17) - 枯 || karasu - ko - kareru || dry - wither - to dry || info...
#18) - 校 || kou - - || school - - || info...
#19) - 機 || ki - hata - || machine - occation - || info...
#20) - 械 || kai - - || machine - - || info...
#21) - 板 || ita - han - ban || board - plate - || info...
#22) - 枝 || eda - shi - || branch - tree branch - || info...
#23) - 枚 || mai - - || counter for sheets (paper) - - || info...
#24) - 林 || hayashi - rin - || woods - forest - || info...
#25) - 極 || kyoku - goku - kiwameru || extreme - poles (north or south) - || info...
#26) - 植 || ueru - uwaru - shoku || plant - to plant - set up || info...
#27) - 様 || sama - you - || mode - formal title - Mr. / Mrs. || info...
#28) - 構 || kamau - kou - kamaeru || structure - posture - construct || info...
#29) - 横 || ou - yoko - || side - width - beside || info...

And the strange ones not to the left

#30) - 未 || mi - - || not yet - still to come - || info...
#31) - 末 || sue - matsu - batsu || last part - end - || info...
#32) - 束 || soku - taba - || tie - bundle - || info...
#33) - 東 || tou - higashi - || east - - || info...
#34) - 来 || rai - kuru - || come - - || info...
#35) - 果 || ka - hatasu - hateru || fruit - end - || info...
#36) - 栄 || ei - sakaeru - hae || glory - flourish - || info...
#37) - 査 || sa - - || look into - investigate - || info...
#38) - 案 || an - - || idea - plan - expectation || info...
#39) - 楽 || gaku - raku - tanoshii || music - comfort - ease || info...
#40) - 業 || gyou - gou - waza || business - vocation - job || info...

Others:
条 jou article, clause
杉 sugi ceder
松 matsu pine
枢 suu hinge, door
析 seki chop, divide
枠 waku frame, spindle
枕 makura pillow
栓 sen plug, bolt
染 sen dye, color
架 ka frame, support
柄 hei design, pattern
柳 ryuu willow
梅 ume plum
桜 sakura cherry
核 kaku nucleus, core
株 kabu stocks, share
栽 sai planting
桟 san scaffold, frame
桑 sou mulberry
棟 tou ridge
巣 su nest
標 hyou sign, mark, stamp
桃 momo peach tree
梢 kozue twig
棺 kan coffin, casket
棋 ki shogi, Japanese chess
棚 tana shelf, rack
楼 rou watchtower, lookout
模 mo copy
概 gai condition
槽 sou tub
樹 ju timber, wood
欄 ran column