There are approximately 165 puzzle-type games on the Nintendo DS.
Here's the list:
7 Wonders of the Ancient World
Animaniacs: Lights, Camera, Action!
Apollo Justice: Ace Attorney
Astérix & Obélix XXL 2: Mission: Wifix
Avatar: The Last Airbender
Away: Shuffle Dungeon
Bomberman
Bomberman Land Touch!
Broken Sword: The Shadow of The Templars - The ...
Castlevania: Dawn of Sorrow
Castlevania: Portrait of Ruin
Cate West: The Vanishing Files
Charlotte's Web
Chibi-Robo!: Park Patrol
Chronos Twin
Club Penguin: Elite Penguin Force
Clubhouse Games
Code Lyoko
Code Lyoko: Fall of X.A.N.A
Color Cross
Cradle of Rome
Crazy Machines
CrossworDS
Crosswords DS
CSI: Dark Motives
Deep Labyrinth
Densetsu no Stafi 4
Diary Girl: Organize, Chat, Play Everyday
Diddy Kong Racing DS
Disney's Kim Possible: Global Gemini
DK: Jungle Climber
Dogz 2
Doodle Hex
Dragon Ball Z: Harukanaru Densetsu
Dragon Ball: Origins
Essential Sudoku DS
Exit DS
Final Fantasy Fables: Chocobo Tales
Final Fantasy III
Final Fantasy: Crystal Chronicles - Ring of Fates
Finding Nemo: Escape to the Big Blue
Flower, Sun and Rain
Foster's Home for Imaginary Friends: Imaginatio...
Freshly-Picked Tingle's Rosy Rupeeland
Frogger: Helmet Chaos
Game Center CX: Arino no Chousenjou 2
Ganbare Goemon: Toukai Douchuu Ooedo Tengurigae...
Germany's Next Topmodel
Gunpey DS
Gyakuten Saiban DS: Yomigaeru Gyakuten (Limited...
Hamsterz Life
Harry Potter and the Goblet of Fire
Henry Hatsworth in the Puzzling Adventure
Hotel Dusk: Room 215
Igor: The Game
Imagine: Master Chef
Imagine: Teacher
Jake Hunter: Detective Chronicles
Jenga World Tour
Kero Kero 7
Kim Possible: Kimmunicator
Kirby: Squeak Squad
Know How - Spielend um die Ecke denken
Konductra
Kung Fu Panda
Labyrinth
Left Brain, Right Brain
The Legend of Spyro: A New Beginning
The Legend of Zelda: Phantom Hourglass
LEGO Star Wars: The Complete Saga
Let's Play: Schools
LifeSigns: Surgical Unit
Lost in Blue
Lost in Blue 2
Lost in Blue 3
Lunar Knights
Magical Starsign
Magnetica
Mario & Luigi: Partners in Time
Mario vs. Donkey Kong 2: March of the Minis
Marvel Trading Card Game
Master of Illusion
Mega Man Battle Network 5: Double Team DS
Mega Man Star Force 2: Zerker X Ninja
Mega Man Star Force 2: Zerker X Saurian
Mega Man Star Force: Dragon
Mega Man Star Force: Leo
Mega Man Star Force: Pegasus
Mega Man ZX
Mega Man ZX Advent
Meteos
Meteos: Disney Magic
Metroid Prime: Hunters
Monster Puzzle
Monsters vs. Aliens
Mr. DRILLER: Drill Spirits
Myst
Mystery Case Files: MillionHeir
Nancy Drew: The Deadly Secret of Olde World Park
Neopets Puzzle Adventure
The New York Times Crosswords
Open Season
Over the Hedge: Hammy Goes Nuts!
Pac 'n Roll
Pac-Pix
Phoenix Wright: Ace Attorney
Phoenix Wright: Ace Attorney - Justice For All
Phoenix Wright: Ace Attorney - Trials and Tribu...
Picross DS
Planet Puzzle League
Platinum Sudoku
Pokémon Diamond
Pokémon Pearl
Pokémon Trozei!
Polarium
Prism: Light the Way
Professor Layton and the Curious Village
Puyo Pop Fever
Puyo Puyo Fever 2
Puzzle City
Puzzle Kingdoms
Puzzle Quest: Challenge of the Warlords
Puzzle Quest: Galactrix
Rayman Raving Rabbids
The Rub Rabbits!
Runaway 2: The Dream of the Turtle
Secret Files 2: Puritas Cordis
Shrek the Third
The Sims 2: Castaway
The Sims 2: Pets
Snood 2: On Vacation
Soul Bubbles
Spider-Man 3
The Spiderwick Chronicles
SpongeBob SquarePants: The Yellow Avenger
Sprung
Spyro: Shadow Legacy
Super Mario 64 DS
Super Monkey Ball: Touch & Roll
Super Princess Peach
Tamagotchi Connexion: Corner Shop
Teenage Zombies: "Invasion of the Alien Brain T...
Tetris DS
Think: Logik Trainer
Time Hollow
Toon-Doku
Touch Detective
Touch Detective 2 1/2
Trace Memory
Trauma Center: Under the Knife
Trauma Center: Under The Knife 2
Tropix!
Turn It Around
Undercover: Dual Motives
Unsolved Crimes
Viva Piñata: Pocket Paradise
Wario: Master of Disguise
Whac-A-Mole
WordJong
The World Ends With You
Yoshi's Island DS
Yosumin!
Zendoku
Zoo Keeper
Zoo Quest: Puzzle Fun