[Grumpy Old Fart]

Beyond Good & Evil
Odd World Strangers Wrath
Grabbed By The Ghoulies
Hitman ContractsMetal Arms: Glitch in the System (not sure if this would be classed as a shooter)
Prince of Persia
Prince of Persia Sands of Time
Psychonauts
Conker
Second Sight
PSI Ops
Sid Meier's Pirates
Star Wars: Jedi Academy
Spider-man 2
Incredible Hulk: Ultimate Destruction

There's also these but not sure if they are classed as action/adventure..

Thief: Deadly Shadows
Splinter Cell
Splinter Cell: Pandora Tomorrow
Splinter Cell: Chaos Theory