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