I'm sure new quests are coming in the future, but I still wanted to share a couple ideas that come to mind. I do realize some of these would maybe be hard to implement, or hard for some to pull off, but maybe have a skip feature or someway to opt out of ones?

Bone Breaker: Fracture [X] Joints while in official rooms.

He's on fire!: Obtain a streak of three or more.

Stuck the landing: Win a boxshu, boxing, or lenshu fight and finish in an upright position.

Can't touch this: Win a match while scoring [X] more damage than your opponent./ Win a match without your opponent getting any damage.

Believe It!: Win a match with a bet on you.

Podium Finish: End a tourney in either 1st 2nd or 3rd Place.

The Headless Warrior: Win a match after you lose your head.

They All Used To Be Adventurers: Fracture [X] Knees.

Walk Yourself Out: Disqualify someone while not grabbing them in Aikido, ABD, or Boxshu.

4th Quarter King: Comeback and win after being down [X] damage points.

Born to Fly: Obtain [X] Frames of airtime in a Boxshu, Lenshu, Abd, or Aikido and win.

I Wanna Be Hokage!: Win [X] Ninjutsu matches.

Heartbreak Kid: Deal [X] damage to Chest and Pecs.

An Arm And A Leg: Play a match where either opponents lose an arm and a leg.

All Good Things...: End someone's streak.

ARE YOU NOT ENTERTAINED?!!1: Win by decap 2x in a row.

Crash Landing: Dismember an opponent while they are in the air.

Off The Top Rope: Dismember an opponent while you are in the air.

Oh No He's Hot: Streak in two different official mods in less than a 24 hour period.
-----
I also don't know how much TC should be accredited to these either, but maybe a Shiai Token for harder ones?