A nice mix of story-related, optional, and miscellaneous Trophies/Achievements, please!
Story-related:"THAT DRIVER WAS INSANE" - Speak to Yamagashi-san and gain access to Dobuita
"BAR FIGHT" - Throw down in the Heartbeats Bar
"THE WRONG ONE" - Find Charlie
"DISC 2?!" - Catch the bus to the harbour
"THE PLOT THICKENS" - Meet Master Chen
"THINK IT MIGHT BE CURSED?" - Find the Phoenix Mirror
"1... 2... 3... 39,634 YEN!" - Receive some help from Fuku-san
"PLEASE DON'T HURT ME!" - Chase down Jimmy
"I GOT YOU A JOB, MAN!" - Get a job
"THANK YOU, RYO" - Rescue Mark and learn about his missing brother
"LONG TIME NO SEE!" - Teach Charlie another lesson
"LONG ZHA"- Find out about the Mad Angels' deal
"IT'S T-T-TERRY!" - Find out about the leader of the Mad Angels
"I WON'T LET THIS GO..." - Rescue Nozomi
"WHO'S MAD NOW?" - Emerge victorious from the 70-man battle
"HE SHALL APPEAR FROM A FAR EASTERN LAND..." - Set sail for Hong Kong
Optional:"...BUT MY EYESIGHT IS BAD, SO..." - Help the old lady find the Yamamoto residence
"I'M SO THIRSTY!" - Buy the delivery boy a drink
"HEY, HAZUKI!" - Take part in all Free Battles with Enoki
"IT'S SO WARM..." - Buy the homeless man a coffee
"SO SOLID" - Make it to Old Warehouse No. 8 without being spotted by the guards
"URGHCADE" - Beat Chai in You Arcade
"MEOW!" - Name the kitten
"ANCIENT HISTORY" - Learn the legends of the Phoenix Mirror
"WOULD YOU LIKE TO PRACTICE SOME MORE?" - Learn all moves from instructors
"HAPPY NEW YEAR!" - Head through Yokosuka on New Year's Day
"I WISH TIME... WOULD JUST STAND STILL..." - Meet Nozomi in Sakuragaoka Park
Miscellaneous:"ESPECIALLY SINCE YOU BOUGHT MERCHANDISE" - Won 1st prize in any raffle
"PRETTY DAMN GOOD FOR A ROOKIE!" - Place 1st in the forklift race
"SPRING CLEANING" - Collect all items in the Hazuki Residence
"MEMORIES" - View all flashbacks in the Hazuki Residence
"MASTERED!" - Master all default moves
"PAY2WIN" - Acquire all move scrolls
"HEY, I KNOW THIS..." - Buy fifty capsule toys
"LOOK AT THE TIME!" - Stay up past curfew
"MERRY CHRISTMAS! HO, HO, HO!" - Speak to Santa
"WOW, MAN, YOU'RE PRETTY GOOD!" - Beat the high score in an arcade game
"AH, GOOD!" - Buy yourself a drink
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I'll think of some for
Shenmue II some other time