Challenge Accepted achievement in Tiny Tina's Assault on Dragon Keep: A Wonderlands One-shot Adventure
Note that the description says that you do not need to do the level-specific achievements (like finding the vault symbols on each level). You only need the general, global challenges.
All challenges only need to be completed to level 1 (again, except for the ones that require level 5, which I unfortunately don't remember). Leave a comment if you see a challenge that needs to be level 5 to unlock another one.
Shout out to The Cherished for compiling the original list.
Dragon Keep
Scot-Free: Kill 50 dwarves.
Rock Out With Your Rock Out: Kill 10 golems.
Knighty Knight: Kill 10 knights.
Orcs Should Perish: Kill 50 orcs.
Bone Breaker: Kill 50 skeletons.
Ew Ew Ew Ew: Kill 25 spiders.
Cheerful Green Giants: Kill 10 treants.
Magical Massacre: Kill 10 wizards.
Fus Roh Die: Kill 10 dragons.
Can't Fool Me: Kill 5 mimics.
Elemental
Cowering Inferno: Light 25 enemies on fire.
Acid Trip: Kill 5 enemies with corrosive damage.
Boom.: Kill 5 enemies with explosives.
Slag-Licked: Deal 5000 bonus damage to slagged enemies.
Say "Watt" Again: Deal 5000 damage with shock DoT (damage-over-time) effects.
Corroderate: Deal 5000 damage with corrosive DoT (damage-over-time) effects.
I Just Want to Set the World on Fire: Deal 5000 damage with incendiary DoT (damage-over-time) effects.
Loot
Open Pandora's Boxes: Open 25 lootable crates, lockers, and other objects.
Gun Runner: Pick up or purchase 10 weapons.
The Call of Booty: Open 5 treasure chests.
Nothing Rhymes with Orange: Loot or purchase 1 legendary item.
Purple Reign: Loot or purchase 1 purple-rarity item.
I Like My Treasure Rare: Loot or purchase 3 blue-rarity items.
Another Man's Treasure: Loot or purchase 10 white items.
It's Not Easy Looting Green: Loot or purchase 5 green-rarity items.
Money and Trading
Whaddaya Buyin'?: Purchase 1 item with Eridium.
For the Hoard!: Save a lot (10,000) of money.
Psst, Hey Buddy...: Trade with 1 other player.
Wholesale: Sell 10 items to vending machines.
Limited-Time Offer: Buy 1 Item of the Day.
Dolla Dolla Bills, Y'all: Collect 5000 dollars from cash drops.
Health and Recovery
I'm Back! Shocked?: Get Second Winds by killing 1 enemy with a shock DoT (damage over time).
Death, Wind, and Fire: Get Second Winds by killing 1 enemy with an incendiary DoT (damage over time).
I'll Just Help Myself: Get Second Winds by killing 5 enemies.
Green Meanie: Get Second Winds by killing enemies with a corrosive DoT (damage over time).
This Is No Time for Lazy!: Revive a co-op partner 5 times.
Badass Bingo: Get Second Winds by killing 1 badass enemy.
Heal Plz: Recover 1000 health.
Grenades
Pull the Pin: Kill 10 enemies with grenades.
Singled Out: Kill 5 enemies with Singularity grenades.
EXPLOOOOOSIONS!: Kill 5 enemies with MIRV grenades.
Chemical Sprayer: Kill 5 enemies with Area-of-Effect grenades.
Woah, Black Betty: Kill 5 enemies with Bouncing Betty grenades.
Health Vampire: Kill 5 enemies with 5 Transfusion grenades.
Shields
Game of Thorns: Kill 5 enemies with reflected damage from a Spike shield.
Amp It Up: Kill 5 enemies while buffed by an Amplify shield.
Roid Rage: Kill 5 enemies while buffed by a Maylay shield.
Super Novas: Kill 5 enemies with a Nova shield burst.
Rocket Launcher
Sky Rockets in Flight...: Kill 10 enemies from long range with rocket launchers.
Catch-a-Rocket!: Kill 5 enemies with direct hits from rocket launchers.
Splish Splash: Kill 5 enemies with rocket launcher splash damage. (Must kill 50 enemies to unlock another challenge.)
Gone with the Second Wind: Get 1 Second Wind with rocket launchers.
Rocket and Roll: Kill 5 enemies with rocket launchers.
Sniper Rifle
Surprise!: Kill 5 unaware enemies with sniper rifles.
Longshot Headshot: Get 10 critical hits with sniper rifles.
Longshot: Kill 10 enemies with sniper rifles.
No Scope, No Problem: Kill 5 enemies with sniper rifles without using the scope/ironsights.
Leaf on the Second Wind: Get 1 Second Wind with sniper rifles.
Snipe Hunting: Kill 5 enemies with critical hits using sniper rifles.
Assault Rifle
Aggravated Assault: Kill 10 enemies with assault rifles.
This Is My Rifle...: Get 10 critical hits with assault rifles.
...This Is My Gun: Kill 5 enemies with critical hits using assault rifles.
From My Cold, Dead Hands: Get 1 Second Wind with assault rifles.
Crouching Tiger, Hidden Assault Rifle: Kill 5 enemies with assault rifles while crouched.
SMG
High Rate of Ire: Kill 5 enemies with critical hits using SMGs.
More Like Submachine FUN: Get 1 Second Wind with SMGs.
Constructive Criticism: Get 10 critical hits with SMGs.
Hail of Bullets: Kill 10 enemies with SMGs.
Shotgun
Shotgun!: Kill 10 enemies with shotguns.
Faceful of Buckshot: Get 25 critical hits with shotguns.
Lock, Stock, and...: Get 1 Second Wind with shotguns.
Open Wide!: Kill 10 enemies at point-blank range with shotguns. (Must get 250 kills to unlock another challenge.)
Shotgun Surgeon: Kill 5 enemies with critical hits using shotguns.
Shotgun Sniper: Kill 5 enemies from long range with shotguns.
Pistol
Hard Boiled: Get 1 Second Wind with pistols.
Pistolero: Kill 5 enemies with critical hits.
Quickdraw: Kill 5 enemies shortly after aiming down the sights with a pistol.
Deadeye: Get 10 critical hits with pistols.
The Killer: Kill 10 enemies with pistols.
Melee
Fisticuffs!: Kill 10 enemies with melee attacks.
A Squall of Violence: Kill 10 enemies with melee attacks using bladed guns.
General Combat
Gun Slinger: Deal 5000 damage with Tediore reloads.
Boomerbang: Kill 5 enemies with Tediore reloads.
Critical Acclaim: Kill 10 enemies with critical hits. And rainbows.
Knee-Deep in Brass: Fire 300 rounds.
...To Pay the Bills: Kill 5 enemies while using your Action Skill.
Not Full of Monkeys: Kill 5 enemies with stationary barrels.
Miscellaneous
Haters Gonna Hate: Win 1 duel.
Sidejacked: Complete 1 side mission.
Yo Dawg, I Heard You Like Challenges...: Complete 5 challenges (to level 5, or a level specific challenge)
Have fun!