Cut off works in those examples.
Cropped off is not a normal collocation. Normally we'd say cropped out.
Cut out can sometimes work in these instances, but it has a different meaning and the ambiguity can make it necessary to choose a different word.
Hey, where am I? Our whole team's here, but you cut me out of the picture!
Here, the meaning is clearly you cropped the picture in such a way that I no longer appear in it.
I cut her face out of the photograph and put it in a locket.
Here we see the other meaning of cut out: "to remove something from a larger piece by cutting" (Macmillan Dictionary). In this case, the part of the photograph that showed the woman's face was removed from the rest of the photograph.
Part of this picture is good, but the rest stinks. Cut the flowers out of it.
Are the flowers the good part of the picture, which should be removed from their ugly context, or are they making an otherwise nice looking picture look bad?