What is the difference between QFT and QED? What is the difference between QFT and QED?  In QFT electron is field quanta, what is electron in QED?
 A: The comment by Aaron Stevens is right: QED is a specialization of QFT. 
QFT is a collection of general principles. It is a specialization of quantum theory (it respects all of the principles of quantum theory and includes some more), but it is still very broad. QED is a further specialization. QED is a relatively simple QFT in which the only dynamic entities are the electromagnetic field and one or more fermion fields (such as the electron field). In QED, electron particles are quanta of the electron field, as suggested in the question.
QCD (quantum chromodynamics) is a different specialization of QFT. The Standard Model of particle physics is another one. Other examples are abundant, most of them less relevant to the real world but still useful for building intuition. Here's a Venn diagram to illustrate the relationships:

By the way, the relationship between particles and fields is not always straightforward. For example, in QCD, the fields are quark and gluon fields, but the resulting particles are mesons (like pions) and baryons (like protons and neutrons). It is still correct to say that particles are field quanta, but not quanta of individual fields. Each particle in QCD is a collective phenomenon that involves all of the fields. The correspondence between fields and particles is more straightforward in QED, but it still involves some subtleties. One of the benefits of studying less-realistic-but-easier specializations of QFT is to help build intuition about such subtleties.
