The main thing with Japanese bear emoticons is the mouth. You want to use (エ), ㉨ or possibly a ω. Everything else is pretty much the same as other Japanese emoticons.  There’s also the other sort of small type of bear made with ᶘ and ᶅ for the sides of the head.

 

“(`(エ)´)ノ(/-(エ)-\)(`(エ)´)ノ
(´(エ)`)(✪㉨✪)(ó㉨ò)
・㉨・⁝⁞⁝⁞ʕु•̫͡•ʔु☂⁝⁞⁝⁝( (ミ´ω`ミ))
( ´ิ(ꈊ) ´ิ)(。・ω・。)(* ̄(エ) ̄*)
(*ノ・ω・)(/(エ)\)(/ ̄(エ) ̄)/
(^(I)^)(^(エ)^)( ̄(エ) ̄)
( ̄(エ) ̄)ゞ( ̄(エ) ̄)ノ(∪ ̄ ㋓  ̄∪)
(●`・(エ)・´●)(● ̄(エ) ̄●)(♥ó㉨ò)ノ♡
(✪㉨✪)《/( ̄(エ) ̄)ゞ》\(・`(ェ)・)/
°◦=͟͟͞͞ʕ̡̢̡ु•̫͡•ʔ̡̢̡ु ☏⊂(・(ェ)・)⊃⊂(^(工)^)⊃
⊂( ̄(エ) ̄)⊃⊂( ̄(工) ̄)⊃⊂(◎(工)◎)⊃
ʕ̡̢̡̡̢̡̡̢̡✩˃̶͈̀ ॢ³˂̴`͈ॢʔ̢̡̢̢̡̢̢̡̢♡⃛ʕ̡̢̡̡̢̡̡̢♡ᵒ̴̷͈艸ᵒ̴̷͈॰ʔ̢̡̢̢̡̢̢̡̢✧✧ʕ̢̣̣̣̣̩̩̩̩·͡˔·ོɁ̡̣̣̣̣̩̩̩̩✧
ヾ(T(エ)Tヽ)٩ʕ•͡וʔ۶ヽ( ̄(エ) ̄)ノ
v.ʕʘ‿ʘʔ.vʔ•̫͡•ʔʕ ⁎❛ั ुꈊ͒ੁ❛ั ु)
ʕ •́؈•̀ ₎ʕ·͡ˑ·ཻʔʕ”̮ुॽु✚⃞ྉ*✲゚*。⋆
ʕ̡̢̡*✪௰✪ૢʔ̢̡̢ʕ•͡-•ʔʕ•͓͡•ʔ-̫͡-ʕ•̫͡•ʔ
ʕ•̫͡•ʔ♡*:.✧ʕ•̫͡•ིʔྀʕ•͡ɛ•͡ʼʼʔ
ʕ•͡ω•ʔʕ•̀ω•́ʔ✧ʕ•ӫ̫͡•ʔ
ʕ•͡દ•ʔヾ(;→㉨←)ノヾ(´(エ)`ノ゙
ʕʽɞʼʔʕʘ̅͜ʘ̅ʔʕु-̫͡-ʔु”
ʕु•̫͡•ʔु ✧ʕु•̫͡•ʔु☂ʢٛ•ꇵٛ•ʡ
Ψ( ̄(エ) ̄)Ψก็็็็็็็็็็็็็ʕ•͡ᴥ•ʔ ก้้้้้้้้้้้ฅʕ•̫͡•ʔฅ
川´・ω・`川┏((= ̄(エ) ̄=))┛⊂(ο・㉨・ο)⊃
ᶘ ᵒᴥᵒᶅʕ•̫͡•ʔ →ʕ•̫͡•̫͡•ʔ →ʕ•̫͡•=•̫͡•ʔ →ʕ•̫͡•ʔ ʕ•̫͡•ʔʕ•ᴥ•ʔ
ʕ•͡౪•ʔᵋ₍⚬ɷ⚬₎ᵌˁ˙˟˙ˀ
ˁ˙͠˟˙ˀˁ˙͡˟˙ˀ✧(๑•́ᄌ⃝ก̀๑)⋆*ೃ:.
\\\\ ٩(`(エ)´ )و ////(///◔(ェ)◔///)ʕ•͡•ʔ
ʕ•̫͡•ʔ♬✧ʕ·͡ˑ·ཻʔෆ⃛ʕ•̫͡•ོʔʕ͙•̫͑͡•ʔͦʕͮ•̫ͤ͡•ʔ͙
ʕ•̫͡•ʕ•̫͡•ʔ•̫͡•ʔʕ•̼͛͡•ʕ-̺͛͡•ʔ•̮͛͡•ʔʕ•̭͡•ʕ•̯ͦ͡•ʕ•̻̀•́ʔ
ʕ•̫͡•ོʔ•̫͡•ཻʕ•̫͡•ʔ•͓͡•ʔʕ•̫͡•ʔ❣ʕ-̼͡-ʔ ʕु•̫͡•ʔुʔ•̫͡•ཻʕʕु•̫͡•ʔु
ʕु-̫͡-ʔु”=͟͟͞͞ʕ•̫͡•ʔ =͟͟͞͞ʕ•̫͡•ʔ =͟͟͞͞ʕ•̫͡•ʔ =͟͟͞͞ʕ•̫͡•ʔ =͟͟͞͞ʕ•̫͡•ʔʕ̡̢̡ॢ•̫͡ॢ•ʔ̢̡̢
ʕ•ૅૄ•ʔʕ⁎̯͡⁎ʔ༄ʕ-͏̶̶̶̯͡-ʔ
˞͛ʕ̡̢̡๑꒪͒ꇴ꒪͒๑ʔ̢̡̢˞͛˞͛ʕ̡̢̡◌・ꄃ・◌ʔ̢̡̢˞͛˞͛ʕ̡̢̡⚭◞₀͒◟⚭̀ʔ̢̡̢˞͛
 ʢ•ꇵ͡•ʡ✩⃛ʕ̡̢̡ʘ̅͟͜͡ʘ̲̅ʔ̢̡̢ʕ•̫͡•ॽु✚⃞ྉ*✲゚*。⋆
˞͛ʕ̡̢̡,,Ծ‸Ծ,, ʔ̢̡̢˞͛˞͛ʕ̡̢̡  ͡͝  ືྀ͋ ◡ु ͡͝  ືི͋ ʔ̢̡̢˞͛ˁᵒ͡ˑ̉ᵒˀ
ৎ。 ॄཻ͡⁎̥̥̥̥̥̥ૂॽ