First, you may put a permanent card onto the battlefield, then each other player in turn order may do the same. Cards such as Sakashima's Student that can enter as a copy of another creature could copy a creature put onto the battlefield earlier in the resolution of the ability.

Each player will know what permanent cards were put onto the battlefield earlier in the ability's resolution.

This process is not repeated. Go around the table only once.

After all permanents are put onto the battlefield and you planeswalk away from Reality Shaping, any abilities that triggered from those permanents entering will be put onto the stack. You'll put all of your triggered abilities on the stack in any order, then each other player in turn order will do the same. (The last ability put on the stack will be the first one that resolves.)