By Hack'n Slash I suppose you mean the Beat'em Up games with swords (or any weapon), right?
And by Adventure, something like Maniac Mansion?
In case the answer for the above questions is "yes", here are some nominees:
Hack'n Slash
No More Heroes (as already mentioned before)
Onechanbara: Bikini Zombie Slayers (also mentioned before)
Star Wars - The Force Unleashed
Soul Calibur Legends
Prince of Persia - Rival Swords
Lego Star Wars - The Complete Saga
Death Jr II: Root of Evil (more a platform game, but still...)
Rygar: The Battle of Argus
Sonic and the Black Knight (what? It is!)
Adventure
Zack And Wiki Quest For Barbaros Treasure
Sam & Max Season 1
Harvey Birdman: Attorney at Law ('sorta like Phoenix Wright games)
Coraline
Broken Sword: Shadow of the Templars ~The Director's Cut~
Secret Files: Tunguska
Secret Files 2: Puritas Cordis
Another Code: R - A Journey Into Lost Memories
Also, as a bonus, some beat'em up games:
Transformers - The Game
Spiderman 3 - The Game
Avatar The Last Airbender (some RPG elements)
Avatar The Last Airbender - The Burning Earth (some RPG elements)
Avatar The Last Airbender - Into the Inferno (some RPG elements)
Lego Indiana Jones: The Original Adventures
Lego Batman: The Videogame
The Incredible Hulk
Spiderman - Web of Shadows
The Simpsons Game
Spiderman - Friend of Foe
Ben 10: Protector of Earth
Mushroom Men: The Spore Wars
Deadly Creatures
Dead Rising: Chop Till You Drop
Madworld (I don't believe this one fits the "hack'n slash" category)
X-Men Origins: Wolverine
Transformers - Revenge of the Fallen
As for The Legend of Zelda - Twilight Princess, it's an Action RPG, where, sure, you hack'n slash enemies, but it's not the "prime" factor...
Well, that's it from me, see ya.