This achievement is pretty easy bearing in mind you use the right deck and play against the right opponent. How I obtained this is I played with the 'Claws of Vengeance' deck, against Chandra Nalaar.
I chose Chandra as my opponent as this pure Red Deck has very weak creature spells. Only the Earth Elemental's and Goblin King are a threat as Goblin Kings 'Mountainwalk' ability can be a pain if you don't have any incinerates backed up and ready to go to take him out. Also Chandra has several of annoying but not to bothersome direct damage sorceries and instants, which can take you out fast if you don't get your health back quickly.
Make sure with the Claws of Vengeance that you have the 'Godsire,' ultra rare unlocked. You will need this creature card to complete this achievement.
Start off by attempting to get the 'Angels Feather' and 'Dragons Claw' artifacts out early (they give you 1 life for each white and red spell casted. Dragons Claw is especially useful as each spell Chandra cast's also heals you) as they help you with weathering Chandra's 'Lava Axes,' 'Incinerates' 'Prodigal Sorcerers' and 'Shock's.'
Try to get out your Tundra Wolves (1/1 First Strike) to prevent his Goblins from rushing you early as well. You should be pretty good at this point also keep in mind 'Wrath of God' (Destroy all creatures in play. They cannot be regenerated) can be quite handy too if he seems to be getting the upper hand on you with his Earth Elementals, Hill Giants and Lightning Elementals. Once you get about 6-8 turns in you should have brought out some Bull Ceradons, and Wooly Thoctars for defense.
At this point you've won the game and can sit back and wait it out until you get 'Godsire' in play. Remember every turn you can tap Godsire at no additional mana each turn and get an 8/8 red, white, and green creature into play every turn. Once you have Godsire out and Chandra locked down you can get this achievement in about 9 turns.