Here is the full list of all 24 Doors Push or Pull achievements.
Visit 3 Worlds in a single run.
Purchase 20 Chests
Discover the Space Station
Open 500 Doors total.
Fail to open a pair of white doors.
Open 30 doors in a single run.
Discover the Space Hanger
Decorate the Space Station or Hanger with Tubes or the BroBot.
Decorate the Nebula with an Arcade Machine or Slot Machine.
Discover the Nebula world.
Decorate the Dungeon with Torches, Lanterns, Swords, Staves, Statues or the Dinner Set.
Decorate the starting hallways with flowers, Christmas Decorations, or the Pumpkin.
Crash through a door.
Open 30 double doors by swiping down the middle.
Discover the Dungeon World.
Place an item in a room using the decorator.
Purchase a Velvet Chest.
Create a multiplayer room. (You don't actually have to play)
Open 20 doors in a single run.
Discover Retro Hill.
Fail on the first set of doors in a run.
Retry 3 times in a row.
Open 10 doors in a single run.
Open a door.