OK, these were formed a bit before the achievements were released, so ignore the duplicates. I tries to make them as not-grindy as possible, so feedback appreciated. The levels of achievements refers to the mounting (Like the pig off a cliff and On a Rail ones have the ornate backing)
Basic Achievements
Skinned Knuckles (Break a wood block with your bare hands)
Ready for Mining (Craft a wooden pickaxe)
Survivalist (Make it through your first night)
Warrior (Kill a hostile mob)
Farmer (Harvest a piece of wheat)
Well Equipped (Craft one of each tool out of any material)
Respawn in 3...2...1... (Die to anything)
Walking Tank (Craft a full set of any type of armor and equip it)
Hunter (Craft a bow)
Cannonball! (Fall at least 50 meters into water and live)
A Furry Friend (Tame a wolf)
A Good Night's Sleep (Sleep through the night with the use of a bed)
Innocent and Ignorant (Complete all basic achievements)
Novice Achievements
It's Dangerous to Go Alone... (Have a pack of five wolves tamed and following you at once)
Idle Hands (Craft twenty different recipes)
Iron Age (Mine and smelt a piece of iron)
I've Been Working on the Railroad (Place a minecart track)
Pyromaniac (Craft a flint and steel)
Iron Man (Craft a set of iron armor)
Animal Cruelty (Hit an animal off a cliff and have it die by falling)
It's Technically Magma... (Find an underground lava lake)
Like a King (Mine and smelt a piece of gold)
Efficiency (Use a bucket of lava to power a furnace)
Killing Gallery (Kill one of each hostile mob within a minute)
Daredevil (Kill a creeper with only your bare hands)
Upping the Anti (Kill a skeleton with a flaming arrow)
Not Quite a Noob (Complete all novice achievements)
Journeyman Achievements
Dungeon Runner (Discover a dungeon)
Eddison's Disciple (Create a circuit with redstone)
Genius (Craft every recipe)
Explosive (Detonate a piece of TNT)
Delicious Irony (Kill a creeper in a TNT blast)
Triple Threat (Kill a hostile mob with a combination of cactus, fire or lava, and falling)
A Diamond in the Rough (Mine a piece of diamond)
Livin' In Luxury (Create all diamond tools)
Ranger (Hit a hostile mob with an arrow from at least forty meters away)
Well Read (Craft and place ten bookshelves)
Fail train (Ride a Minecart... Into lava)
We Ride at Dawn (Saddle a pig and ride it off a cliff to its death)
It's a trap! (Kill a hostile mob using only a redstone triggered dispenser)
Kid's Got Potential (Complete all Journeyman Achievements)
Expert Achievements
Master Miner (Mine a piece of obsidian)
Shiny... (Equip a full set of gold armor)
Dynaminer (Detonate fifteen TNT blocks in a single explosion)
Healthy Treasure (Find a cocoa bean, apple, and wheat or bread in a single dungeon chest)
Gooey (Kill a large slime without taking damage)
All this work for blue wool? (Craft a Lapiz Lazuli block)
Battle Steed (Kill four hostile mobs while riding a pig)
P0rtal (Create a nether portal)
Making War (Slay an entire tribe of zombie pigmen)
Denied! (Kill a ghast with its own fireball)
Danger: Hot (Fall in nether lava and live to tell the tale)
Luminescence (Craft and place a glowstone block in the overworld)
Monument to Solitude (Complete all expert achievements)
Why not go outside? (Complete every achievement)
Landslide! (kill a mob with sand or gravel)
You're safe now (destroy a mob spawner)
Ultimate builder (place 1,000,000 blocks)
Fireworks! (get a creeper to explode in midair)
Mob Wars! (get a spider to kill a skeleton)
Basic Achievements
Skinned Knuckles (Break a wood block with your bare hands)
Ready for Mining (Craft a wooden pickaxe)
Survivalist (Make it through your first night)
Warrior (Kill a hostile mob)
Farmer (Harvest a piece of wheat)
Well Equipped (Craft one of each tool out of any material)
Respawn in 3...2...1... (Die to anything)
Walking Tank (Craft a full set of any type of armor and equip it)
Hunter (Craft a bow)
Cannonball! (Fall at least 50 meters into water and live)
A Furry Friend (Tame a wolf)
A Good Night's Sleep (Sleep through the night with the use of a bed)
Innocent and Ignorant (Complete all basic achievements)
Novice Achievements
It's Dangerous to Go Alone... (Have a pack of five wolves tamed and following you at once)
Idle Hands (Craft twenty different recipes)
Iron Age (Mine and smelt a piece of iron)
I've Been Working on the Railroad (Place a minecart track)
Pyromaniac (Craft a flint and steel)
Iron Man (Craft a set of iron armor)
Animal Cruelty (Hit an animal off a cliff and have it die by falling)
It's Technically Magma... (Find an underground lava lake)
Like a King (Mine and smelt a piece of gold)
Efficiency (Use a bucket of lava to power a furnace)
Killing Gallery (Kill one of each hostile mob within a minute)
Daredevil (Kill a creeper with only your bare hands)
Upping the Anti (Kill a skeleton with a flaming arrow)
Not Quite a Noob (Complete all novice achievements)
Journeyman Achievements
Dungeon Runner (Discover a dungeon)
Eddison's Disciple (Create a circuit with redstone)
Genius (Craft every recipe)
Explosive (Detonate a piece of TNT)
Delicious Irony (Kill a creeper in a TNT blast)
Triple Threat (Kill a hostile mob with a combination of cactus, fire or lava, and falling)
A Diamond in the Rough (Mine a piece of diamond)
Livin' In Luxury (Create all diamond tools)
Ranger (Hit a hostile mob with an arrow from at least forty meters away)
Well Read (Craft and place ten bookshelves)
Fail train (Ride a Minecart... Into lava)
We Ride at Dawn (Saddle a pig and ride it off a cliff to its death)
It's a trap! (Kill a hostile mob using only a redstone triggered dispenser)
Kid's Got Potential (Complete all Journeyman Achievements)
Expert Achievements
Master Miner (Mine a piece of obsidian)
Shiny... (Equip a full set of gold armor)
Dynaminer (Detonate fifteen TNT blocks in a single explosion)
Healthy Treasure (Find a cocoa bean, apple, and wheat or bread in a single dungeon chest)
Gooey (Kill a large slime without taking damage)
All this work for blue wool? (Craft a Lapiz Lazuli block)
Battle Steed (Kill four hostile mobs while riding a pig)
P0rtal (Create a nether portal)
Making War (Slay an entire tribe of zombie pigmen)
Denied! (Kill a ghast with its own fireball)
Danger: Hot (Fall in nether lava and live to tell the tale)
Luminescence (Craft and place a glowstone block in the overworld)
Monument to Solitude (Complete all expert achievements)
Why not go outside? (Complete every achievement)
http://www.youtube.com/watch?v=24HJnYoPKg0
You're safe now (destroy a mob spawner)
Ultimate builder (place 1,000,000 blocks)
Fireworks! (get a creeper to explode in midair)
Mob Wars! (get a spider to kill a skeleton)