What plants can I sever and plant?

Of course, I know that Cacti are perhaps the supreme survivors to being cut off and planted.
Yesterday I picked of a segment of a Rhipsalis I found pending sadly and neglected in some public area.
When I do this the thought is to let them grow elsewhere, with more care and love.
It has always worked.
The idea has perpetuated into an interest: all the plants I’ve done this with, even attempting to splice some of them, lived prosperously thereafter in my green area. I therefore tend to suspect that a great deal of the plants I come across can be cut off from their original body and planted elsewhere.
With what plants is this NOT possible? And with which is it in all cases?