Keep forgetting the notify button
I think back pressure is a relatively generalized term. In our industry[normally] back pressure is held on many process systems based on the spill back system we discussed earlier [Discharge output -->Suction input]. I have heard the term, especially in the hobby, in reference to what I would call head pressure. That is pressure on the discharge side of a pump.
It must be noted that pumps have suction head pressure NPSH
[Net Positive Suction Head] as well. And it gets more complicated from there

[A chemical/mechanical engineer could probably help out with some more terminology if you are interested]
As for what pumps respond in this manner I can really only speak for centrigugal external pumps, although I'm guessing submerged pumps work in the manner, I cant be sure.............