Burning Ambition is a trait in Destiny 2 that can appear on 41 weapons. An enhanced version exists on crafted and some newer weapons.
What Burning Ambition does
Dealing sustained damage scorches the target. Dealing damage to a scorched target inflicts scorch.
Enhanced version
Dealing sustained damage more quickly scorches the target. Dealing damage to a scorched target inflicts scorch.
Weapons that can roll Burning Ambition (41)
Abide the ReturnSolar · Sword
Abyss DefiantSolar · Auto Rifle
Abyss Defiant (Adept)Solar · Auto Rifle
Acasia's DejectionSolar · Trace Rifle
Acasia's Dejection (Adept)Solar · Trace Rifle
AgapeSolar · Hand Cannon
Ahab CharSolar · Auto Rifle
Arctic HazeSolar · Auto Rifle
Briar's ContemptSolar · Linear Fusion Rifle
Briar's Contempt (Adept)Solar · Linear Fusion Rifle
CataclysmicSolar · Linear Fusion Rifle
Cataclysmic (Adept)Solar · Linear Fusion Rifle
Darkest BeforeSolar · Pulse Rifle
Dawn Far OffSolar · Machine Gun
Death AdderSolar · Submachine Gun
DrangSolar · Sidearm
Evening SI4Solar · Sidearm
False IdolsSolar · Sword
Finite ImpactorSolar · Hand Cannon
Finite MaybeSolar · Fusion Rifle
MIDA Mini-ToolSolar · Submachine Gun
No HesitationSolar · Auto Rifle
NullifySolar · Pulse Rifle
Nullify (Adept)Solar · Pulse Rifle
Omniscient EyeSolar · Sniper Rifle
Outrageous FortuneSolar · Grenade Launcher
Oxygen SR3Solar · Scout Rifle
ParabellumSolar · Submachine Gun
Returned MemorySolar · Sidearm
SynanceiaSolar · Sword
Temporal ClauseSolar · Machine Gun
Terciopelo-4blSolar · Sword
The BeaconSolar · Fusion Rifle
The Ringing NailSolar · Auto Rifle
Thermal ErosionSolar · Machine Gun
TrusteeSolar · Scout Rifle
Veillantif-DSolar · Pulse Rifle
Vision of ConfluenceSolar · Scout Rifle
Vision of Confluence (Timelost)Solar · Scout Rifle
Yeartide ApexSolar · Submachine Gun
Zealous IdealSolar · Auto Rifle