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