Draft a team with a Gold QB, a Gold WR, and a Bronze WR so that you can tackle multiple Achievements in the same game.
Set up a game with quarter lengths and difficulty level that suit your skill and confidence. When in doubt, Easy and 15 minute quarters will give you plenty of time.
Call nothing but pass plays, dumping to your Gold WR on the Flea Flicker for big gains, then using shorter slant routes or post patterns if the deep passes aren't connecting or getting batted away by a tough defender.
Keep at it and you should easily be able to rack up the 337 receiving yards that you need to set the game record. The Achievement will unlock after the game is over and your user profile is saved.
Additional Achievements:
But don't stop there. You're only 163 yards away from the Golden Arm, and 128 yards away from the Achievement for Game Record Passing Yards.
Once your Gold WR has passed 337, start hitting your bronze WR with passes exclusively. If you get him over 150 yards, you'll also earn Two For One, and if you get him over 200 yards receiving, you'll also unlock Over the Top.
All the Achievements will unlock after the game is over and your profile is being saved.