Beware of the lurking threats on every floor -- some are especially persistent... 
Nothing Comes Free
Not unlocked yetGet 10+ reward items in a single run as Lydia.
Mama's Girl
Not unlocked yetPurchase a shop's entire stock as Cordelia.
Heavyweight Champ
Not unlocked yetAs Fuji, kill a boss in under 30 seconds.
Mumba Shoot Mumba...
Not unlocked yetObtain a Mumba Launcher as Mumba.
Ol' Reliable
Not unlocked yetClear a run without picking up, firing, or scrapping a single weapon besides your Shotgun or Rocket Launcher as Jules.
Too Old for This
Not unlocked yetAs Jeff, clear a run without any items.
Midas
Not unlocked yetBreak 10 golden pots in a single run.
START RUNNING...
Not unlocked yet...if you want to live.
RUNRUNRUNRUNRUN
Not unlocked yetRUNRUNRUNRUNRUNRUNRUNRUNRUN
This is It
Not unlocked yetReach Diavola.
Triumph
Not unlocked yetKill Diavola.
Milkbar Lads #1 Fan!
Not unlocked yetUnlock every pre-update medal.
Master of the House
Not unlocked yetClear the Arena.
The Kingpin
Not unlocked yetFind the wanted poster.
The Inmate
Not unlocked yetAs BOSS, kill a boss in under ten seconds.
No More Heroes
Not unlocked yetBeat the game as BOSS.
Blast Damage Days
Not unlocked yetGet the true ending as BOSS.
Gigaton
Not unlocked yetAs BOSS, obtain 10+ explosive-related items.
Toilet Humor
Not unlocked yetPurchase an item using Toilet Paper in the Bathroom.
Occupied!
Not unlocked yetBuy the toilet's entire stock in the Bathroom.
Just Getting Started
Not unlocked yetStore $200 in the bank.
Humble Beginnings
Not unlocked yetStore $1,000 in the bank.
Safety Net
Not unlocked yetStore $2,000 in the bank.
Money Maker
Not unlocked yetStore $5,000 in the bank.