• Death Metal Death: Kill Death Metal in Ranking Battle 10.
  
• Peace Out Yo!: Kill Dr. Peace in Ranking Battle 9.
  
• High School Drama: Defeat Shinobu in Ranking Battle 8.
  
• You got Destroyed, Man.: Kill Destroyman in Ranking Battle 7.
  
• Beach Head: Defeat Holly Summers in Ranking Battle 6.
  
• Punx Dead: Face Letz Shake in Ranking Battle 5.
  
• Split Personality: Kill Harvey Moiseiwitsch Volodarskii in Ranking Battle 4.
  
• Speed Busted: Kill Speed Buster in Ranking Battle 3.
  
• Part Time Job Master: Earn a gold medal in all 9 part-time jobs at the Job Center. Each Ranking Battle you complete opens up one new job. The gold criteria is as follows:
  • Collect 8 coconuts or higher in #01 Coconut Collector.
    
  • Mow 91 acres or higher in #02 Lawn Mowing.
    
  • Collect 16 pieces of trash or higher in #03 Garbage Collection.
    
  • Correctly pump 15 cars or higher in #04 Gas Station.
    
  • Disarm 10 landmines or higher in #05 Mine Sweeping.
    
  • Remove 10 graffiti tags or higher in #06 Graffiti Cleaning.
    
  • Catch 5 cats or higher in #07 Meow Meow.
    
  • Handle 15 scorpions or higher in #08 Scorpion Extermination.
    
  • Leap 2000 yards or higher in #09 Bike Jump.
• You're gonna need a Creed: Earn a gold medal in 15 assassination gigs at K-Entertainment. Completing a new part-time job for the first time opens up one new assassination gig, while earning a silver medal on that job opens another gig. I recommend you go for this on the Sweet difficulty, as even with full upgrades the enemies may be too much trouble to kill quickly and efficiently on higher difficulties. There are actually a total of 20 assassination gigs, so you have some freedom with which golds to go for. Most notably, #07 Death Match 100 does not contain silver or bronze medals. The gold criteria is as follows:
  • Kill all enemies in #01 Pizza Butt within 15 seconds.
    
  • Kill all enemies in #02 Snake Hall.
    
  • Kill all enemies in #03 Hooligans Parade.
    
  • Kill all enemies in #04 Baseball Battle.
    
  • Kill all enemies in #05 Pizza Butt Returns within 15 seconds.
    
  • Kill all enemies in #06 Sword Master.
    
  • Kill all enemies in #07 Death Match 100.
    
  • Kill all enemies in #08 Baseball Battle Round 2.
    
  • Kill 20 enemies or higher in #09 Dark Side Battle.
    
  • Kill all enemies in #10 Tiger Hall.
    
  • Kill all enemies in #11 Pizza Butt: The Finale within 15 seconds.
    
  • Kill all enemies in #12 Pro-Wrestling Contest.
    
  • Kill all enemies in #13 Underground.
    
  • Kill all enemies in #14 Baseball Battle Round 3.
    
  • Kill all enemies in #15 Extreme Fight.
    
  • Kill all enemies in #16 Armed Hoods.
    
  • Kill all enemies in #17 Speed Jack.
    
  • Kill 60 enemies or higher in #18 Gamble Fight.
    
  • Kill 7 enemies or higher in #19 Single Strike.
    
  • Kill all enemies in #20 Batting Killing Centre.
• Free Fight Master: Earn a gold medal in all 10 Free Fight Missions. Each one becomes available after earning a gold medal from a part-time job, with the exception of Free Fight Mission #4 which opens up after ranking eighth. Gold medals are scored simply by killing all enemies in the stage. Each Free Fight Mission contains the following number of enemies:
  • Free Fight Mission #1 contains 12 enemies.
    
  • Free Fight Mission #2 contains 15 enemies.
    
  • Free Fight Mission #3 contains 10 enemies.
    
  • Free Fight Mission #4 contains 11 enemies.
    
  • Free Fight Mission #5 contains 15 enemies.
    
  • Free Fight Mission #6 contains 10 enemies.
    
  • Free Fight Mission #7 contains 10 enemies.
    
  • Free Fight Mission #8 contains 15 enemies.
    
  • Free Fight Mission #9 contains 10 enemies.
    
  • Free Fight Mission #10 contains 10 enemies.
• Dial M for Massacre: Kill 510 thugs.
  
• Naughty Girl: Kill Bad Girl in Ranking Battle 2.
  
• Family Drama: Kill Jeane in Ranking Battle 1.
  
• Bittersweet: View either ending on the Bitter difficulty. This setting is only available after completing the game once on Sweet or Mild, saving the Clear Data file and loading it when the game restarts. Defeating Henry is not required. This achievement will unlock as soon as the credits begin to roll on either ending you choose.
  
• Gym Rat: Complete all of Thunder Ryu's gym training. Completing Ranking Battles 9 through 2 unlocks one new benchpress and squat training. There is also one dumbbell training session to complete for each beam katana, available only by visiting the gym with the corresponding katana equipped.
  
• Dump Donator: Enter all 11 bathrooms where progress is saved. There is one bathroom before the boss fights in Ranking Battles 10 through 1, as well as Travis' own motel bathroom.
  
• Fraternal Strife: Complete the real ending on any difficulty. This ending is only an option after ranking 1st and owning the Tsubaki Mk-III beam katana. This achievement can be missable because after the shorter ending and credits you must begin a new game. You still have regular access to the load menu, but if you overwrite the file you were ranked 1st on, then you must play all the way back to 1st rank to be able to watch the real ending again. As long as you don't lose that file, you could alternatively watch the short ending, then start a new game when prompted but immediately load your file and pick the other ending.
  
• Gotta Collect Em All: Obtain 51 trading cards from chests during Ranking Battles. There are a total of 50 in the first playthrough but New Game Plus adds 100 more. The first 50 cards are pretty easily spotted but Ranking Battle 5 begins with a chest inches from your back in the tunnel so make sure you don't miss that one. Cards 51 through 90 and 136 through 147 are found in Ranking Battles when you replay them, while cards 91 through 135 and 148 through 150 are buried across Santa Destroy. Pick up the remainder of the cards you need in your second playthrough to unlock this achievement, as all 150 cards are not required.
  
• No More Hero: Unlock the other 19 achievements for this platinum trophy-style reward.

All of these achievements were previously seen in No More Heroes: Heroes' Paradise and Red Zone on Xbox 360 and PlayStation 3, only under different names. The Steam version actually uses some exact descriptions from that older list. If you want more information on any of the Steam achievements, I've listed their names from the console versions so you can quickly check for older guides:

• Death Metal Death (JP: ＵＡＡランキング第１０位に認定しました/ENG: You are recognized as Rank 10 on the UAA Ranking.)
  
• Peace Out Yo! (JP: ＵＡＡランキング第９位に認定しました/ENG: You are recognized as Rank 9 on the UAA Ranking.)
  
• High School Drama (JP: ＵＡＡランキング第８位に認定しました/ENG: You are recognized as Rank 8 on the UAA Ranking.)
  
• You got Destroyed, Man. (JP: ＵＡＡランキング第７位に認定しました/ENG: You are recognized as Rank 7 on the UAA Ranking.)
  
• Beach Head (JP: ＵＡＡランキング第６位に認定しました/ENG: You are recognized as Rank 6 on the UAA Ranking.)
  
• Punx Dead (JP: ＵＡＡランキング第５位に認定しました/ENG: You are recognized as Rank 5 on the UAA Ranking.)
  
• Split Personality (JP: ＵＡＡランキング第４位に認定しました/ENG: You are recognized as Rank 4 on the UAA Ranking.)
  
• Speed Busted (JP: ＵＡＡランキング第３位に認定しました/ENG: You are recognized as Rank 3 on the UAA Ranking.)
  
• Part Time Job Master (JP: 俺の心のプラチナ殿堂入りだ！/ENG: You've made it into the Hall of Fame of my heart!, closest match)
  
• You're gonna need a Creed (JP: ワンランク上の上へ、然るべく/ENG: Keep climbing those ranks, closest match)
  
• Free Fight Master (JP: 信じてたわ アナタの力を and I knew you could do it.)
  
• Dial M for Massacre (JP: その調子で殺りつづけて！/ENG: Keep slaughtering your way to the top!)
  
• Naughty Girl (JP: ＵＡＡランキング第２位に認定しました/ENG: You are recognized as Rank 2 on the UAA Ranking.)
  
• Family Drama (JP: ＵＡＡランキング第１位に認定しました/ENG: You are recognized as Rank 1 on the UAA Ranking.)
  
• Bittersweet (JP: 意外と甘かった？ でも私は甘くみないでね/ENG: Sweeter than you thought? Just like Sylvia!)
  
• Gym Rat (JP: おう アレだ 道を極めたな/ENG: That's the stuff! You're a true Master now!)
  
• Dump Donator (JP: もうトイレに住んじゃえば？/ENG: Why don't you just start living in one?)
  
• Fraternal Strife (JP: ここが英雄たちの楽園よ/ENG: This is the Heroes' Paradise!)
  
• Gotta Collect Em All (JP: シルちゃんカードは激レアよ/ENG: Sylvia's cards are super rare, you know?, closest matches)
  
• No More Hero (JP: ようこそ 乱れ咲きの園へ/ENG: Welcome to the Garden of Madness.)

The gold medal criteria for assassination gigs, side missions and Free Fight Missions was borrowed from the NO MORE HEROES: Heroes' paradise PERFECT BIBLE.