As of Generation 8, Pokemon Legends: Arceus...
(Note: I used all the Sword/Shield movesets for all the psuedo-legendaries, but Hisuian Goodra used its PLA moveset)
Dragonite
Normal: Brick Break
Fire: Stone Edge
Water: Thunder Punch
Electric: Earthquake
Grass: Fly
Ice: Stone Edge
Fighting: Fly
Poison: Earthquake
Ground: Ice Beam
Flying: Stone Edge
Psychic: Brutal Swing
Bug: Fly
Rock: Surf
Ghost: Brutal Swing
Dragon: Outrage
Dark: Brick Break
Steel: Earthquake
Fairy: Iron Head
Tyranitar
Normal: Brick Break
Fire: Stone Edge
Water: Thunder Punch
Electric: Earthquake
Grass: Ice Punch
Ice: Stone Edge
Fighting: Aerial Ace
Poison: Earthquake
Ground: Ice Punch
Flying: Ice Punch
Psychic: Brutal Swing
Bug: Stone Edge
Rock: Brick Break
Ghost: Brutal Swing
Dragon: Dragon Claw
Dark: Brick Break
Steel: Earthquake
Fairy: Iron Head
Salamence
Normal: Brick Break
Fire: Stone Edge
Water: Thunder Fang
Electric: Earthquake
Grass: Fly
Ice: Stone Edge
Fighting: Aerial Ace
Poison: Earthquake
Ground: Aqua Tail
Flying: Stone Edge
Psychic: Crunch
Bug: Fly
Rock: Brick Break
Ghost: Crunch
Dragon: Dragon Claw
Dark: Brick Break
Steel: Earthquake
Fairy: Steel Wing
Metagross
Normal: Brick Break
Fire: Rock Slide
Water: Thunder Punch
Electric: Earthquake
Grass: Ice Punch
Ice: Rock Slide
Fighting: Aerial Ace
Poison: Earthquake
Ground: Ice Punch
Flying: Thunder Punch
Psychic: Fury Cutter
Bug: Rock Slide
Rock: Brick Break
Ghost: Brutal Swing
Dragon: Ice Punch
Dark: Brick Break
Steel: Earthquake
Fairy: Iron Head
Garchomp
Normal: Brick Break
Fire: Surf
Water: None
Electric: Earthquake
Grass: Fury Cutter
Ice: Stone Edge
Fighting: Aerial Ace
Poison: Earthquake
Ground: Aqua Tail
Flying: Rock Slide
Psychic: Crunch
Bug: Aerial Ace
Rock: Earthquake
Ghost: Brutal Swing
Dragon: Outrage
Dark: Fire Fang
Steel: Earthquake
Fairy: Iron Head
Hydreigon
Normal: Focus Blast
Fire: Aqua Tail
Water: Thunder Fang
Electric: Earth Power
Grass: Fly
Ice: Rock Slide
Fighting: Acrobatics
Poison: Earthquake
Ground: Ice Fang
Flying: Ice Fang
Psychic: U-Turn
Bug: Fire Fang
Rock: Bulldoze
Ghost: Dark Pulse
Dragon: Dragon Pulse
Dark: Superpower
Steel: Earthquake
Fairy: Flash Cannon
Goodra
Normal: Body Press
Fire: Aqua Tail
Water: Thunderbolt
Electric: Earthquake
Grass: Sludge Wave
Ice: Fire Punch
Fighting: None
Poison: Earthquake
Ground: Blizzard
Flying: Shock Wave
Psychic: Skitter Smack
Bug: Fire Punch
Rock: Bulldoze
Ghost: Brutal Swing
Dragon: Draco Meteor
Dark: Superpower
Steel: Focus Blast
Fairy: Iron Tail
Kommo-o
Normal: Aura Sphere
Fire: Rock Slide
Water: Thunder Punch
Electric: Earthquake
Grass: Aerial Ace
Ice: Fire Punch
Fighting: Aerial Ace
Poison: Stomping Tantrum
Ground: Ice Punch
Flying: Ice Punch
Psychic: X-Scissor
Bug: Rock Tomb
Rock: Drain Punch
Ghost: Brutal Swing
Dragon: Outrage
Dark: Superpower
Steel: Earthquake
Fairy: Flash Cannon
Dragapult
Normal: None
Fire: Hydro Pump
Water: Solar Beam
Electric: None
Grass: Fly
Ice: Fire Blast
Fighting: Acrobatics
Poison: Psychic Fangs
Ground: Dive
Flying: Thunderbolt
Psychic: Shadow Ball
Bug: Flamethrower
Rock: Drain Punch
Ghost: Phantom Force
Dragon: Dragon Claw
Dark: U-Turn
Steel: Fire Blast
Fairy: Steel Wing
Hisuian Goodra
Normal: Rock Smash
Fire: Water Pulse
Water: Thunderbolt
Electric: Bulldoze
Grass: Sludge Bomb
Ice: Flamethrower
Fighting: None
Poison: Bulldoze
Ground: Ice Beam
Flying: Thunder Punch
Psychic: None
Bug: Fire Punch
Rock: Hydro Pump
Ghost: None
Dragon: Dragon Pulse
Dark: Rock Smash
Steel: Flamethrower
Fairy: Iron Head
So in conclusion, Garchomp, Dragapult, and Goodra (both forms) are the only psuedo-legendary to not be able to cover all types, being Water for Garchomp, Normal for Dragapult, Fighting for Goodra, and Ghost, Psychic, and Fighting for Hisuian Goodra.