To keep this list as spoiler-free as possible, I'm providing hints rather than concrete tasks to complete. These should be vague enough to keep you puzzled and make sense once you reach that segment in the game. If you still have questions, feel free to ask me on Twitter or so.
Face of the Enemy: Completely filled the monster guide (excluding EX sections for trophy).
Spoils of War: Opened every chest between the Prologue and the Finale.
The Return of Rean QUARTZ-er: Gathered all 31 varieties of master quartz.
Iron: Machias' intial MQ.
Megalith: Buy it in shops from 12/1 onward.
Aegis: Millium's initial MQ.
Tauros: Treasure chest: South Kreuzen Highway.
Canon: Elliot's initial MQ.
Scepter: Treasure chest: Lunaria Park.
Aries: Treasure chest: Nortia Highway.
Orochi: Complete your Fishing Journal and talk to Kenneth.
Force: Prologue.
Brave: Laura's MQ.
Criminal: Treasure chest: Wind Cave Shrine.
Vermillion: Receive it from Alfin after obtaining 1. Medal of Charity (complete 23+ quests); 2. Medal of Strength (defeat the 5 Phantom Beasts); and 3. Medal of Love (collect 50% of the Character Notes).
Wing: Toval's initial MQ.
Falco: Gaius' initial MQ.
Mistral: Jusis' initial MQ.
Thors: Sara's initial MQ.
Raven: Fie's initial equipment
Murakumo: Buy it from 12/15 onward.
Katze: Treasure chest: Reinford Group building.
Cypher: Clear Firing Training LVL 5.
Calamity: Final Chapter: Have all 284 monsters up to that point in your notebook and talk to Stefan.
Angel: Alisa's initial MQ.
Moebius: Claire's intial MQ.
Emblem: Talk to Towa after all students have embarked on the Courageous.
Chevalier: Clear Sword Training LVL 5.
Genesis: Have all recipes and talk to Ferris.
Mirage: Emma's initial MQ.
Juggler: Sharon's initial MQ.
Pandora: Treasure chest: Nord Highland
Magius: Clear Arts Training LVL 5.
Rebellion: Reward for Rank A0.
Lending Library: Completely filled the book section of the notebook
Imperial Chronicle
Issue 1: 11/30 - 12/1 before leaving Ymir.
Issue 2: 12/1 after leaving Ymir - 12/5.
Issue 3: 12/8 - 12/12.
Issue 4: 12/15 - 12/21.
Issue 5: 12/22 - 11293
Issue 6: 12/31 -
Extra Issue: Crossbell Times: Geofront E Start Area -
Issue 7: from 3/12 onward.
Gambler Jack
Issue 1: 11/30 - 12/12 at Ymir's Daily & Souvenir Store - Plover
Issue 2: 12/1 at Celdic's Market, Magazine Stand Cornett.
Client: Father Zirbel, Celdic Chapel | AP: 4 Rewards: Teara x2, Athelas x2, 2000 mira.
- Talk with Flint on the Great Market.
- Talk with Johnson on West Celdic Road 2.
- Take the Cure Herb growing in Lunaria Park 1.
- Report back to Father Zirbel.
Task: Munch no More [Medium]
Client: Market Manager Otto, Market Manager's House | AP: 4 Rewards: Detection, 1500 mira
- Go to East Celdic Road 2.
- Wreck its face.
- Report back to Otto.
Task: A Cry For Help [Short] -- Hidden
Client: Merchant Alvelle, Twin Dragon Bridge | AP: 4 Rewards: Red Pendulum, 2000 mira.
- Talk to Merchant Alvelle.
- Return to Celdic until you trigger and win a battle.
Task: Leaf it to Me [Short] -- Hidden
Client: Alf and Kiki, Ymir | AP: 4 Rewards: Mishishi-gurumi, 1500 mira.
- Talk to the clients.
- Grab the Giant Butterbur* on Ymir Canyon Path 1 and 2.
- If you have 2 of them, report back to Alf and Kiki.
Act 1, Part 2
Task: Highlands Hunt [Short]
Client: Lacan, Elder's/Worzel Home | AP: 4 Rewards: Nord Bless/Breath*, Monster Ingredients x3, 1500 mira
- Defeat the 3 armored beasts.
- Report bback to the chief near Lacrima Lake.
Task: Foaling Around [Short]
Client: Shiida, Lake Lacrima | AP: 4 Rewards: Monster Ingredients x3, 2000 mira
- After accepting the task, find two horses in the north eastern half of Nord.
- Find a third horse in the remains of the Nomadic Settlement.
Task: Zats Amore [Short] -- Hidden
Client: Soldier Zats, Zender Gate | AP: 4 Rewards: EP Charge 2 x5, 2000 mira
- Investigate the northmost tank in the southern half of the Nord Highlands.
Task: Azuki's Adventure [Short] -- Hidden
Client: Camilla, Ymir's Daily & Souvenir Store - Plover | AP: 4 Rewards: ユミル饅頭 x10, 2000 mira
- Talk to Chef Werner at The Phoenix Wings.
- Talk to Gerald in the Tavern Valley's Echo.
- Talk to Lisa in the Ymir Chapel.
Act 1, Part 3
Task: Arseid School Training Bout 2 [Short]
Client: Gavelli, Arseid School Training Hall | AP: 4 Rewards: 治癒, 1500 mira
- Win the battle.
Task: Ebel Rebel [Short]
Client: Miles, Bracer Guild - Legram Branch | AP: 4 Rewards: Sepith thingamajigs x300, 1500 mira
- Go to Ebel Highway 2.
- Beat Gordi Schnarr-G.
- Report back to the Guild.
Task: St. Veronica's Tears [Short] -- Hidden
Client: Sister Tatiana, Bareahard Cathedral | AP: 4 Rewards: Holy Sphere, 2000 mira
- Investigate the statue in the center of Bareahard Central Plaza.
- Enter the sewers.
- Beat the Abyss Drome.
Task: Missin' Kitten [Short] -- Hidden
Client: Eva, Bareahard Central Plaza | AP: 4 Rewards: Prism Cape, 2000 mira
- Talk to Hassan and Udiro in Bareahard Central Plaza.
- Talk to Bisque in Artisans' Street.
- Talk to the female students in front of Bareahard Station.
- Find the kitten near the bridge north of North Kreuzen Highway 1.
Task: Stranger than Fishin' [Short] -- Hidden
Client: Gerald, Tavern - Valley's Echo | AP: 4 Rewards: 丹精, 悪戯, 2000 mira
- Talk to Annabel on Ymir Canyon Path 2.
- Fish alongside Annabel.
- Beat the critter that shows up.
Act 2, Part 1
Task: Monster Madness [Short] -- Required
Client: Elder Ivan, Lake Cabin | AP: 4 Rewards: Sepith hingamajigs x400, 2500 mira
- Beat Magic Knight Ortheim in front of the giant statue in Nord Highlands - North.
Task: Find Our First Years [Short] -- Required
Client: Towa | AP: 4 Rewards: 2500 mira
- Return Monica, Kaspar and Vivi to the Courageous. (See ***below for details)
Task: Without Leave [Short]
Client: Craig, Garrelia Fortress - Training Grounds | AP: 4 Rewards: Panzer Goggles, 3000 mira
- Talk to Brocken.
- Talk to Loki.
- Talk to Marwall.
- Talk to Serafi.
- Talk to Emmans.
- Talk to the members of the Fourth Armored Division near Garrelia's Ruins.
- Go to the east of the map.
Task: Badass in Danger!!! [Medium]
Client: Kargo, Legram - Aprikoze Inn | AP: 4 Rewards: Pyon-pyon Watch, 3000 mira
- Talk to Patiry in Ymir.
Act 2, Part 2
Task: I'll Make a Mech Out of You [Short] -- Required
Client: Neithardt, Twin Dragon Bridge - Central Area | AP: 3(+2) Rewards: 携帯格言集・技, 3500 mira
- Fight against the Spiegel.
- Win the battle for 2 additional AP.
Task: Just Getting Wormed Up [Short] -- Required
Client: Prince Olivert | AP: 4 Rewards: 2500 mira
- Go to Garrelia Road 2.
- Beat whatever out of the ordinary you find there.
Task: Creeping for Creeps [Medium]
Client: Baggings, Ymir - The Phoenix Wings | AP: 3(+2) Rewards: Sepith thingamajig x500, 3500 mira
- Snowboard, and catch the two silly sheeps for 2 additional AP.
- Beat the silly sheep ze boss.
Act 2, Part 3
Task: Gone Air [Medium]
Client: Klein and Heibel, Eisengard Trail | AP: 4 Rewards: 4000 mira
- Don't forget the chest in the lowest level.
- Release the hostages.
Task: The Sweetest of Challenges [Medium]
Client: Blueblanc | AP: 3(+2) Rewards: 怪盗のマント, 3500 mira
- Choose one of the following characters for 2 additional AP:
1) http://falcom.com/sen2/chara/main05.html
2) http://falcom.com/sen2/chara/main07.html
Task: Kreuzen for a Bruisin' [Medium]
Client: Prince Olivert | AP: 4 Rewards: 虎威, 3000 mira
- Go to North Kreuzen Highway 3.
- Show the Beardon how it's done.
Act 2, Part 4
Task: Mist Opportunity [Medium]
Client: Klaus, Bracer Guild - Legram Branch | AP: 4 Rewards: 幻妖牙, 4000 mira
- Put Emma in your party.
- Go to the castle.
- Don't forget the treasure chest on the right in the main hall.
- Beat Lucifuge in the left wing.
Task: Hearts in Harmony [Medium]
Client: Rosine, Celdic Chapel | AP: 3(+2) Rewards: Zeram Powder, 4500 mira
- Put Elliot in your party before talking to Rosine.
- Talk to Instructor Mary in Roer.
- Talk to Fiona at the Garrelia Fortress - Training Grounds.
- Talk to Andre in front of the Bareahard Cathedral.
- If you miss any of the above, you'll miss out of 2 additional AP.
- Talk to Rosine.
Task: Canyon, or CAN'Tyon? [Medium]
Client: Prince Olivert | AP: 4 Rewards: 羅刹牙, 3000 mira
- Go to Aurochs Canyon Path.
- Beat the ボルケロン (Bullfrog?).
Task: Father's Pocket Watch [Medium] -- Hidden
Client: Jackass, Roer - Jackass' Repair Shop | AP: 4 Rewards: 熾天使, 4000 mira
- Put Alisa in your party.
- Talk to ハーヴェス and Grego in the Roer Institute of Technology.
- Talk to Mine Chief Rudolf in the Sachsen Mine.
- Talk to Miner Aman near the platforms.
- Talk to Gwen Reinford in Lake Lacrima.
- Report back to Jackass.
Finale
Task: My Jormungand Don't Want None [Short]
Client: Prince Olivert | AP: 4 Rewards: Zemurian Ore Shard x1, 3500 mira
- Go to East Celdic Road 3.
- Beat Jormungand.
Task: Sachsen Violence [Short]
Client: Prince Olivert | AP: 4 Rewards: Zemurian Ore Shard x1, 3500 mira
- Go to Sachsen Mountain Path 2.
- Beat Gespard.
Task: Nord by Nord-east [Short]
Client: Prince Olivert | AP: 4 Rewards: Zemurian Ore Shard x1, 3500 mira
- Go to Nord Highlands - Northeast.
- Beat Guilder Quaker.
Task: Ymir, Far, Wherever You Are [Short]
Client: Prince Olivert | AP: 4 Rewards: Zemurian Ore Shard x1, 3500 mira
- Go to Ymir Canyon Path - Endpoint.
- Beat Sasquatch.
Task: Absentee Father [Short] -- Hidden
Client: Father Paulo, Trista Chapel | AP: 4 Rewards: 不動珠, 4500 mira
- Important: Take both Sara and Gaius with you on this quest.
- Talk to the Father Zirbel in Celdic Chapel.
- Talk to the Archbishop in Bareahard Cathedral.
- Talk to the Father Hamilcar in Legram Chapel.
- Talk to the Archbishop Homs in Roer Cathedral.
- Talk to the Father Belnarl in Yumir Chapel.
Afterwards
Task: The Race to End All Races [Short] -- Required
Client: Angelica, Academmy - Engineering Building | AP: 1(+1) Rewards: Lightning Belt, EP Charge IV x3, Engineering Building Replica Key, 3000 mira
- Win for 1 additional AP.
Task: Class Warfare [Short] -- Required
Client: Patrick, Acamdemy - Field | AP: 1(+1) Rewards: Albion Garve, Tear All x3, 3000 mira
- Win all three battles for 1 additional AP.
Task: Junk Wanted [Medium]
Client: Brandon, Brandon's General Goods | AP: 1(+1) Rewards: All ingredients x3, 3000 mira
- Talk to Micht in Micht's Pawn Shop.
- Talk to Lambert near the horses on Academy - Field.
- Report back to Micht.
- Go to Class VII Dormitory, room 301.
- Talk to Sara in Kirsche's Cafe & Inn.
- Talk to Gyler in front of the Student Union Building.
- Talk to Clara in Main Building 2F.
- Report back to Brandon.
- If you collected all three items, you get 1 additional AP>
Task: Let's Talk Trista [Medium]
Client: Maikel, Trista Radio Station | AP: 1(+1) Rewards: Athelas EX x3, 3000 mira
- Talk to Abbot in Kirsche's Cafe & Inn.
- Talk to Tyzel in Trista's Park.
- Talk to Lotte in the Upper Class Dorm.
- Talk to Instructor Heinrich in Main Building 1F.
- Talk to Monica in the Gymnasium.
- Go to the Radio Trista Station.
- Grab the shiny item on the table.
- If you collected all comments, you get 1 additional AP.
Task: Angler Management [Medium]
Client: Kenneth, Trista River | AP: 1 Rewards: 撒き餌×10, 3000 mira
- Catch the Noble Carp.
- Catch the ギガンソーディ.
Task: Swimming Lessons: The Return [-] -- Hidden
Client: Neithardt, Main Building 1F | AP: 1(+1) Rewards: Zeram Capsule, 3000 mira
- Clear all the above quests to trigger this one.
- Win twice for 1 additional AP.
Task: To Sharon, With Love [Short] -- Hidden
Client: Anton, Trista Station | AP: 1(+2) Rewards: 七転びマペット, 3000 mira
- Enter (and leave) the Corridor of Reveries.
- Make sure Sharon is not in your party.
- Talk to Anton.
- Talk to Micht in Micht's Pawn Shop.
- Choose the option 「まだ考えたほうがいい」/Let me think about it.
- Talk to Becky in the Studion Union Building - Cafe.
- Choose the option 「まだ考えたほうがいい」/Let me think about it.
- Talk again to Micht.
- Choose the option 「木のブレスレットを勧める」/Pick the wooden bracelet.
- If you chose the above options, you get 2 additional AP.