Cross Screen [AE preset]

Make your objects move from one side of the comp to the other. Select the layer(s) and apply the preset. There's a control for direction (Horizontal/Vertical), checkbox to invert the movement and and offset for tweaking in/out position. The speed is based on the duration of the layer. The calculation is aware of the layer scale. It aligns perfectly to the stage if your object has centered anchor point and no rotation, but you can precompose if rotated or tweak the offset parameter.

. Preset controls

Don't forget to rate the preset!