This is far too hard! Too many good games! Here is my first "off the top of my head" effort and I've probably missed out loads of great titles!

3Dpool
Another World
Banshee
Batman (Car racing scenes were awesome – wish they’d used this engine for Chase HQ)
Battle Squadron
BattleChess
BCkid
Beach Volley (2 player was great and so was the music)
Beneath a Steel Sky
Biplanes or Dogfight (can’t remember which is the better version)
Black Crypt (Amiga really stamped it’s unique feel on this game)
Bloodwych (obviously)
Bloodwych Extended Levels
Bubble Bobble
Cadaver
Cannon Fodder
Captive
Carrier Command
Castle Master
Chaos Engine
Chaos Engine 2
Civilisation
Clown O Mania (unknown by many, but I loved playing this, full overscan screen)
Colonization
Defender of the Crown
Deluxe Galaga
Exile
Eye of the Beholder II
Fiendish Freddy’s Big Top of Fun
Flashback
Flood
Formula One Grand Prix
Frontier – Elite II
Gods
Hero Quest
Hunter (for its original idea)
Hybris (really set a standard of how Amiga games could beat the ST)
IK+
Indiana Jones and the Fate of Atlantis
Indy Heat
F18 Interceptor
JamesPond
Kick Off
Kick Off 2
Lemmings
Lemmings 2 – The Tribes
Lotus Esprit Turbo Challenge
Lotus II
Lotus III
Lure of the Temptress
Mega-low-mania
MicroMachines
Monkey Island 2 - LeChuck's Revenge
Nitro
North & South
PacMania (Loved the full screen overscan display)
Pang
Pinball Dreams
Pinball Fantasies
Pinball Illusions
Populous
Populous II
Project X
Rainbow Islands
Rick Dangerous
Rick Dangerous II
RoboCod - JamesPond II
Robocop 3
Rock N Roll
RVF Honda
Secret of Monkey Island
Sensible World of Soccer
Shadow of the Beast (purely for its wow factor at the time)
Shadow of The Beast 2
Shadow of the Beast 3
SilkWorm
SkidMarks
Sky Chase
SlamTilt
SpeedBall
SpeedBall 2 – Brutal Delux
StarTrek 25th Anniversary
StuntCar Racer
SuperCars II
Superfrog
Swiv
Syndicate
The New Zealand Story
The Settlers
Theme Park
Turrican
Turrican II
Ugh
Vroom
Wings of Fury
Worms
Worms – Director’s Cut
Xenon II (for the feel and soundtrack of the game)
ZanyGolf

Sensible World Of Soccer 96-97
Cannon Fodder
Slam Tilt
T-Zer0
Dynablaster
Superfrog
Shadow Fighter
Flashback
Project-X Special Edition
Apidya
Space Crusade
Syndicate
K240
Pinball Dreams
Pinball Fantasies
Championship Manager '93
Soccer Kid
Doom
Banshee
Jet Strike
Base Jumpers
Spindizzy Worlds
Speedball 2
The Chaos Engine
Xtreme Racing
Gloom
Roadkill
Uridium 2
Mean Arenas
Projectyle
Rainbow Islands
Desert Strike
New Zealand Story
SWIV
Rodland
Gem'X
Pang
Super Stardust
Alien Breed 3D
Arcade Pool
Lemmings
Lotus 3
Lamorghini American Challenge
Zany Golf
Super Skidmarks
Overkill
Monkey Island
Monkey Island 2
Beneath A Steel Sky
Super Hang-On
Leander
Skweek
Deluxe Galaga
Scorched Tanks
Gravity Power
Tetris Pro
Worms: The Directors' Cut
Sim City
Theme Park
Walker
Supercars
Supercars 2
Parasol Stars
Fire And Ice
On The Ball: World Cup Edition
Super League Manager
Pacmania
Nitro
Wiz 'n' Liz
Ruff 'n' Tumble
Fury Of The Furries
Super Off-Road
Virocop
Fantastic Dizzy
IK+
Naughty Ones
Wizkid
PGA European Tour
Datastorm
Plutos
The Shadow Of The Third Moon
Tiny Troops
Blob

Here's my preliminary list...

Addams Family
Aladdin
Alien Breed
Alien Breed 2
Alien Breed 3D
Alien Breed SE
Alien Breed: Tower Assault
Another World
Apidya
Arabian Nights
Arcade Pool
Assassin SE
Banshee
Battle Chess
Battle Squadron
Cadaver
Cannon Fodder
Cannon Fodder 2
Chaos Engine
Chuck Rock
Cybernetix
D/Generation
Deluxe Galaga
Deluxe Pacman
Desert Strike
Embryo
Exile
F/A-18 Interceptor
Faerytale Adventure
Fire & Ice
Flashback
Fusion
Gods
Gunbee F-99
Humans
Hybris
Impact
Jaguar XJ220
James Pond
James Pond 2: RoboCod
Jungle Strike
Kid Chaos
Lemmings
Lost Vikings
Lotus 2
Lotus 3
Menace
Microbes
Monkey Island 2
Morph
Naughty Ones
Nebulus
New Zealand Story
Pac-Mania
Pang
Paradroid 90
Parasol Stars
Pinball Dreams
Pinball Fantasies
Pinball Illusions
Plutos
Project-X / Project-X SE
Qwak
R-Type
Rainbow Islands
Rick Dangerous
Rick Dangerous 2
Roadkill
Rodland
Ruff N Tumble
Secret Of Monkey Island
Sensible World Of Soccer
Shadow Of The Beast 3
SideWinder
Slam Tilt
Speedball 2
Stardust
StarRay
Super Off-Road
Super Stardust
Superfrog
SWIV
Tearaway Thomas
Theme Park
Transplant
Turrican
Syndicate
Uridium 2
Virocop
Walker
Wizball
Worms / Worms DC
X-Out
Xenon
Xenon 2
Zeewolf
Zeewolf 2
Z-Out
Zool
Zool 2

Here's my list, finally. Sorry for taking so long, but believe it or not I actually had a hard time narrowing this down to only 100. There were several titles I didn't like taking out of this.

So here's the list, by alpha, in groups of ten for easier counting.

Agony
Alien 3
Alien Breed '92 Special Edition
Another World
Assassin
Battle Chess
Battle Squadron
Beneath A Steel Sky
Black Crypt
Blade of Destiny - Realms of Arkania

Bloodnet
Body Blows
Body Blows Galactic
Brutal Sports Football
California Games
Cannon Fodder
The Chaos Engine
Chuck Rock
Civilization
Cool Spot

Cruise For A Corpse
D-Generation
Defender of The Crown
Desert Strike
Disposable Hero
Dune
Dune 2 - The Battle For Arrakis
Elvira - Mistress of The Dark
F1
Fiendish Freddy's Big Top O' Fun

Flashback
Formula One Grand Prix
Frontier - Elite 2
Future Wars
Gods
Golden Axe
Gravity-Force
The Great Gianna Sisters
Heimdall
Heimdall 2

Hired Guns
Indianapolis 500
Indy Heat
International Karate +
It Came From The Desert 2
Jaguar XJ-220
James Pond 2
KGB
Leander
Lemmings

Lemmings 2 - The Tribes
Loom
The Lost Vikings
Lotus Turbo Challenge 2
Lure Of The Temptress
Magic Pockets
Monkey Island 2
Moonstone
Mortal Kombat
Nitro

North & South
Nuclear War
Oh no! More Lemmings
Ooops Up
Overdrive
Pinball Dreams
Pinball Fantasies
Pirates!
Ports of Call
Premiere

Prince of Persia
Project-X
Push-Over
Second Samurai
The Secret of Monkey Island
The Settlers
Shadow of The Beast
Shadow of The Beast 3
Shufflepuck Cafe
Simon The Sorcerer

Skidmarks
Space Quest
Speedball 2
Stardust
Street Rod 2
Stunt Car Racer
Super Cars 2
Superfrog
Syndicate
Troddlers

Turrican 2
Twintris
Ugh!
Universe
Virus
Walker
Wing Commander
Wings
Wings of Fury
Zool

Agony
Deluxe Galaga
Hybris
Lemmings
Lemmings 2
Pinball Dreams
Pinball Fantasies
Pushover
R-Type
Speedball
Speedball 2
Sword of Sodan
Unreal
Zany Golf

Alien Breed
Ambermoon
Another World
Archon
Ballistix
Bard's Tale 1-3
Battle Chess
Battle Isle
Battle Squadron
Battle Tech: The Crescent Hawks's Inception
Beach Volley
Beneath a Steel Sky
BMX Simulator
Borrowed Time
Brutal Sports Football
Bubble Bobble
Buck Rogers: Countdown to Doomsday
Cabal
Cannon Fodder 1&2
Champions of Krynn
Chaos Engine 1&2
Curse of the Azure Bonds
D/Generation
Déjà vu 1&2
Desert Strike
Disposable Heroes
Dogs of War
Dune
Dungeon Master
Elite
Emlyn Hughes International Soccer
Enemy: Tempest of Violence
Escape from Colditz
Eye of the Beholder
Fire Power
Flashback
Goal! (Kick Off 3)
Goblins, Gobliins, Gobliiins
Hunter
Hybris
IK+
Indiana Jones and the Last Crusade
Indy Heat
Jaguar XJ-220
Jungle Strike
Kaiser
Last Duel
Leander
Legend of Faerghail
Leisure Suit Larry 2
Little Computer People
Lotus Turbo Esprit III
Lure of the Temptress
M.U.D.S. (Mean Ugly Dirt Sport)
Mad TV
Maniac Mansion
Mega-Lo-Mania
Micro Machines
Midwinter
Monkey Island 1&2
Neuromancer
Nitro
North & South
Nuclear War
Oil Imperium
Paradroid 90
Perihelion
Pirates !
Pool of Radiance
Populous 1&2
Ports of Call
Powermonger
Project X
Projectyle
Push Over
Railroad Tycoon
Rings of Medusa
S.W.I.V.
Sim City
Simon the Sorceror 1&2
Skid Marks
Space Crusade
Speedball 2
Super Cars 2
Superstar Ice Hockey
Supremacy
Syndicate
Temple of Apshai Trilogy
Test Drive 2: The Duel
The Lost Vikings
Theme Park
Turbo
TV Sports Basketball
UFO: Enemy Unknown
Uridium 2
Wastelands
Wings of Fury
Zak McKracken
Zany Golf
Zeewolf 1&2

Well I will do a quick nomination off the top of my head and if it doesn't count then so be it.

Sensible World of Soccer
Cannon Fodder
Speedball 2
Hostages
Pinball Fantasies
Syndicate
Worms
Populous
Lotus Esprit Turbo Challenge
Skidmarks
Zool
Ivan "Iron Man" Stewart's Super Off Road Racer
Body Blows
Lemmings

That will do cant think of any more right now, although there are so many more.

And one more morning at the office doing something else than working

Adams family
Agony
Alien 3
Alien breed
Alien breed - Tower assault
Alien breed 2
Alien breed 3D
Alien breed '92 Special Edition
Another world
Apidya
Assassin
Bargon attack (can't believe people don't talk more about it)
Beneath a steel sky
Black Crypt
Cannon fodder
Chaos engine
Cruise for a corpse
Defender of the crown
Deluxe galaga
Desert strike
Dune
Dune 2
Dungeon Master
Dyna Blaster
Elite
Elvira: Mistress of the Dark
Eye of the beholder
Eye of the beholder 2
Fire and Ice
Flashback
Flight of the Amazon Queen
Formula one grand prix
Frontier - Elite 2
Ghouls 'n' Ghosts
Golden Axe
Gunship 2000
Heimdall
Hostage
Indiana Jones and the fate of Atlantis
Indiana Jones and the last crusade
International karate +
Ishar 2
It came from the desert 2
Jaguar XJ220
James Pond
James Pond: Robocod
Jungle strike
Kick Off 2
Knights of the sky
Lamborghini American Challenge
Legend of Kyrandia
Lemmings
Lemmings 2
Lotus esprit turbo challenge
Lotus esprit turbo challenge 2
Lure of the temptress
Magic Pockets
Maniac mansion
Mortal Kombat 2
Nitro
North and South
Pang
Paradroid 90
Pinball Dreams
Pinball Fantasies
Pinball Illusions
Pirates
Prince of Persia
Project X
Rainbow Islands
R-Type
R-Type 2
Seek and Destroy
Sensible soccer
Shadow of the beast
Shadow of the beast 2
Shadow of the beast 3
Simcity 2000
Simon the sorcerer
Speedball 2
Super Hang-On
Superfrog
Syndicate
The great Giana sisters
The secret of the Monkey Island
The secret of the Monkey Island 2: Lechuck's revenge
Turrican
Turrican 2
UFO - ennemy unknown
Uridium 2
Vroom
Walker
Wings
Worms
Xenon 2 Megablast
Zack McKracken
Zool

I just realised I hadn't put my 100 game nomination in yet. It was bloody hard to get it down to just 100 games, but here is my final list.

Addams Family
Alien Breed '92 Special Edition
Another World
Arcade Pool
Banshee AGA
Beneath a Steel Sky
Bubble Bobble
Cadaver
Cannon Fodder
Captain Blood
Captive
Chaos Engine
Civilisation
D/Generation
Deluxe Galaga
Deluxe Pacman
Desert Strike
Dune
Dune 2 - The Battle For Arrakis
Dungeon Master
Dynablaster
Exile
Eye of the Beholder
Eye of the Beholder 2
Flashback
Frontier – Elite II
Future Wars
Geoff Crammond's Formula One Grand Prix
Gloom Deluxe
Gods
Gunship 2000
Hired Guns
Impossible mission 2025
International Karate + (IK+)
Jaguar XJ220
James Pond
Jimmy White's Whirlwind Snooker
Klondike AGA
Lemmings
Lemmings 2 – The Tribes
Lotus Esprit Turbo Challenge 2
Lotus III
Lure of the Temptress
Magic Pockets
Maniac Mansion
Mega-lo-Mania
Moonstone
New Zealand Story
Nitro
Pinball Fantasies
Pinball Illusions
Pirates Gold!
Populous II
Powermonger
Project X
Railroad Tycoon
Rick Dangerous
Roadkill
Rodland
S.W.I.V.
Sensible World Of Soccer 96-97
Shadow of The Beast
Shadow of The Beast 3
Shadow Worlds
SilkWorm
Sim City 2000
Simon the Sorcerer
Slamtilt
Space Crusade
Speedball II: Brutal Deluxe
Speris Legacy
Spindizzy Worlds
Star Trek: 25th Anniversary
Stunt Car Racer
Super Hang On
Super Off-Road
Super Skidmarks
Super Stardust
Superfrog
Supremacy
Syndicate
The Killing Game Show
The Secret of Monkey Island
The Secret of Monkey Island 2
The Settlers
Theme Park
Turrican II
UFO: Enemy Unknown
Universe
Uridium 2
Virus
Walker
Wings
Wizball
World of Legend - Son of the Empire
Worms: The Directors' Cut
Xenon 2
Zack McKracken and the Alien Mindbenders
Zeewolf 2
Zool

I'm now closing the Stage One nominations and will be compiling the games ready for Stage Two, which will hopefully be launched in the next few days.