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