Here is the full list of all 55 Shenmue I & II achievements. It takes around 35-40 hours to unlock all of the achievements on Windows.
Shenmue: Call the police at the beginning of the game
Shenmue: Find Charlie in the tattoo parlor in Dobuita
Shenmue: Get the letter from Yuanda Zhu translated in Dobuita
Shenmue: Reach New Yokosuka Harbor
Shenmue: Find the Phoenix Mirror in the Hazuki Basement
Shenmue: Get a job at the Harbor
Shenmue: Rescue Nozomi from the Mad Angels
Shenmue: Beat the 70 Man Battle
Shenmue: Beat Chai in the Harbor
Shenmue: Buy a soda for thirsty Wang Guang Ji
Shenmue: Take the Phoenix Mirror to the two antique shops in Dobuita
Shenmue: Find Megumi's kitten when it goes missing
Shenmue: Learn a move from Tom at the hot dog stand
Shenmue: Win a forklift race
Shenmue: Visit the fortune teller
Shenmue: Play Hang-On or Space Harrier
Shenmue: Find your first collectable toy
Shenmue: Collect 25 Capsule toys
Shenmue: Collect 50 Capsule toys
Shenmue: Learn a combat move
Shenmue: Learn 5 combat moves
Shenmue: Practise your Kung Fu in the Dojo with Fuku-san
Shenmue: Help the old lady in Sakuragaoka find a specific house
Shenmue: Complete the game
Shenmue: Find the flashback in the Yard
Shenmue: Find the flashback in the Kitchen
Shenmue: Find the flashback in the Dojo
Shenmue: Get into Warehouse 8 and meet Master Chen
Shenmue II: Get your bag back after it is stolen
Shenmue II: Meet Lishao Tao
Shenmue II: Catch the leaves
Shenmue II: Fall off a building with Ren
Shenmue II: Leave Hong Kong
Shenmue II: Catch Yuan and rescue Zhang Shu Qin
Shenmue II: Find Yuanda Zhu
Shenmue II: Impress the Yellowhead scout, Yuandao Huo, with your fighting skills
Shenmue II: Defeat Dou Niu
Shenmue II: Find the Shenmue Tree
Shenmue II: Complete the game
Shenmue II: Give money to the musicians at the beginning of the game
Shenmue II: Have less than 50 dollars when your bag is stolen
Shenmue II: Chase and catch Wong in QTE
Shenmue II: Straighten the man's sign near the Come Over Guest House in Wan Chai
Shenmue II: Master the Wild Throw move from the Kung Fu school in Wan Chai
Shenmue II: Say goodbye to the 4 wude masters before leaving Hong Kong
Shenmue II: See the flowers with Shenhua
Shenmue II: Place a map marker
Shenmue II: Learn your first new combat skill
Shenmue II: Learn 5 combat skills
Shenmue II: Learn 10 combat skills
Shenmue II: Learn 15 combat skills
Shenmue II: Win an arm wrestling match
Shenmue II: Win 5 arm wrestling matches
Shenmue II: Visit a fortune teller
Shenmue II: Play all 4 arcade games