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The Mandalorian aka Din Djarin (Pedro Pascal) continues to use his Bergmann 1894-based Blastech IB-94 blaster pistol. Several other members of The Children of the Watch are also seen using one in "Chapter 17: The Apostate".
WESTAR-35 Blaster Pistol (STI Perfect 10)
Bo-Katan Kryze (Katee Sackhoff) and the members of The Children of the Watch and The Nite Owls continue to use the WESTAR-35 blaster pistols based on STI Perfect 10s fitted with a cosmetic shell that covers the entire slide and the front of the frame.
WESTAR-34 Blaster Pistol
The Famous WESTAR-34 Blaster Pistol famously used by Jango Fett in Star Wars Episode II: Attack of the Clones returns and is used by several members of The Children of the Watch as one of their sidearms. This pistol is not based on any existing firearm, likely a custom prop made exclusive to Jango Fett.
Majority of the pirates with Vane are seen carrying various flintlocks as their main weaponry.
A180 Pistol (WE Luger P08)
Officers of The New Republic are all armed with the A180 pistol, which was based on a Luger P08.
BlasTech DH-17 Blaster Pistol (C1 Submachine Gun)
The BlasTech DH-17 Blaster Pistol, based on the Sterling SMG, is used by New Republic Officers in "Chapter 19: The Convert".
S-5 Heavy Blaster Pistol "Officer Model"
Naboo Royal Guards are armed with the Officer's Model of the S-5 Heavy Blaster Pistol in "Chapter 20: The Foundling".
Rexim-Favor Mk5
The Imperial Super Commandos are armed with a blaster pistol based on the Rexium-Favor Mk5, but looks to be a different model than the BlasTech SE-14r.
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Blaster Rifles
Blunderbuss
Futurized Blunderbusses are used by pirates in the season.
A DLT-20A Laser Rifle (built from an Sturmgewehr 44 and a Browning M1919A4 barrel) is seen with the IG-11 statue in Nevarro.
BlasTech DC-15S carbine
Clone Troopers of the 501st Legion and Corusant Guard are seen using the BlasTech DC-15S carbine during the Order 66 flashback. Due to its similar design to the E-11, the DC-15S is likely based on the Sterling L2A3.
BlasTech DC-15A Blaster Rifle
Some of the turned Clone Troopers in the Order 66 Flashback are also seen using the DC-15A Blaster Rifle along with the DC-15S carbine in "Chapter 20: The Foundling".
It is essentially a larger and more powerful long-range alternative to the DC-15S blaster carbine. Although entirely computer-generated (as are all the clone troopers, no costumes were manufactured), its design is based on parts from the German MG34 making up the rear half, as well as much of a scaled-up Sterling L2A3 turned upside-down for the front.
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Heavy Blasters
Minigun Heavy Blaster Cannon
A handheld Minigun-styled blaster machine gun is used Paz Vizla (Tait Fletcher). The receiver appears to be based on an enlarged MG42 receiver and near section of the barrel shroud, whilst the three barrels are styled on MG34 barrels.
Special Weapons
Laser Turret
A laser turret is used by pirates in Nevarro in "Chapter 21: The Pirate".
Mandalorian Weapons
Flamethrower
Various Mandalorians use the wrist-mounted flamethrower for close quarters.
"Whistling Birds" Mini-Missile Launcher
COTW Mandalorians use "Whistling Birds" Mini-Missile Launchers as a weapon for clearing out multiple enemies.
Personal Combat Shield
Mandalorians are equipped with a Personal Combat Shield meant to block attacks from lightsabers and blaster shots.
Training Darts
COTW Mandalorians use training darts when practicing for actual fights.