Spelunky HD - About the MossRanking Achievements

We have 4 types of achievements, based on how they are measured:

By Performance You must meet specific minimum times/scores for all categories that are part of the achievement. Each tier has more difficult requirements.
  Speedrunner
  The Daily Struggle
  1/5
  Hellijup
  Lownacci
  Real-Time Terrorisrn!!!
  Playing it Safe
  Lower Scorer
  Maximum Velocity
  Are You Addicted Yet?
  Bigger Money
  Short%
  Speed-Scorer
  Minimum Scorer
  "True" Maximum
  Playing it Hot
  What's Bothering Carl?
  ZooLUL'ed
  Riverrunning,
  The Grind II
  Speed God
  Not My Fault
By Completion You must complete specific categories. For each completed category that is part of the achievement, you gain a tier.
  Meme Challenger
  Castle Crasher
  Impossible, Right?
  Concussion
  Extreme Pacifism
  Illiterate
By Rating You must meet specific minimum ratings (your times/scores vs the world record) for all categories that are part of the achievement. The minimum rating required increases with each tier.
  Moss Tier
By Family You must meet specific minimum criteria for all categories that are part of the achievement. Each achievement will consist of one or more category families. The requirements increase with each tier.
  B the Rex
  The Grind
  Challenge God
  Pacify 71
  Late Knight
  Conscientiously Objecting