Here is the full list of all 20 Swinging-Man achievements.
Fully upgrade perks
Kill 1st boss
Kill 2nd boss
Kill 3rd boss
Kill 4th boss
Beat 2nd loop
Beat 3rd loop
Beat 4th loop
Reach satellite
Reach the moon
Upgrade Bullet-Time to level 3
Upgrade Liquid Bullet to level 3
Upgrade Magnet level 3
Kill 3 enemies within 1 second
Don't touch the ground more than 30 seconds without slinger.
Collect 10,000 nudies in total
Shoot 6,969 bullets
Reach first boss in 120 seconds
Travel in the air for 1,000,000 meters in total
Beat 1st loop without upgrade card