Michelle Thetford:
The Seigneurie round table discussion at theInternational Congress on Medieval Studies this past May discussed this paradigm. Leading scholars on lordship, those on the panel (including Bouchard and Barton) and in the room, agreed that “feudalism” never truly existed as an actual structure, but is a construct developed by historians to understand how society worked in the Middle Ages. Unfortunately, it is a construct that was popularized and has been very hard to dislodge from the popular intellect.
Steve Muhlberger:
For the last 25 years I have taught undergrads without using the word.
Andrew E. Larsen:
I tell students to forget everything they learned in high school and movies about the Middle Ages. It’s virtually all wrong. The “Feudal System” is exhibit A. I’m still working on a way to teach what did exist, but I spend time exploring “manorialism” and time exploring the development of the English legal system.
Part of the problem is that when one offers generalizations about medieval society and government, there is always at least one significant region where the generalization is largely false. I’m increasingly focused on using one region (England or France) as an example of what could develop, rather than trying to build up a false generalization for the whole of Western Europe.
Mary Loomer Oliver:
After reading Fiefs and Vassals on top of a couple other books about what was happening in other areas, I decided to call it “medieval power relationships” instead 
Jolanta N. Komornicka:
I’m not sure that issue is really any different than disabusing students of what a knight was (and when and where), or a castle, or the constructed places of women and men, etc. Students come into our classrooms with lots of preconceptions regarding medieval history. I’ve found that presenting students with two quick case-studies that highlight some of the differences in socio-political systems gives teeth to the statement “well, it’s complicated.” At least the movie industry is less invested in presenting a glorified idea of feudal relations (or feudalism, as it were) than it is in knights and damsels.
David M. Perry:
Feudalism, presented as a system, serves little purpose for me in my classroom. But medieval power relationships, governed by oaths and obligations, often linked to military service and use of land or other resources, can be characterized as “feudal.” The adjective feudal - feudal bonds, feudal ties, feudal oaths - still holds as useful and presents a bridge between the preexisting knowledge of my students and the more complex model I’d like them to consider.
Rod McCaslin:
As a high school teacher who does not teach about Feudalism in the Middle Ages, I have my students read and discuss Elizabeth Brown’s AHR essay (1974). One of her points is that it is insulting to students to think they must have a simplistic model that’s false because they can’t understand complexities. So, I don’t insult my students and I try to summarize the complexities inherent in medieval social, political and economic relationships. The other point she makes is that word “feudalism” has lost its usefulness as it has acquired to many meanings- land in exchange for military service, social hierarchy, serfdom and the triennial system, as a synonym for medieval, as a pejorative. Every time a historian writes “feudalism,” the reader has to stop and ask, "what does he/she mean by that? So, not just false but vague.
Skip Knox:
…But there is a quantum jump from that sort of analysis to the synthesizing work of trying to characterize the Middle Ages or some era within the Middle Ages. That’s where a word like “feudalism” gets invented. The question is not whether the construct holds up in the specific case–almost by definition it isn’t going to–but rather whether the construct helps us understand or explain that era in some useful way, better than some other construct, or no construct. I think that’s what the OP was about: if not “feudalism” with all its warts and caveats, then what? I don’t think there’s ever been a viable alternative, so the only real choice we offer is that of no construct.
Paul Halsall:
I am NOT keen on using the word “feudalism”, although I have to address it in classes over here. That does not mean other “grand narratives” are all false, nor that even if they are false they might not be an aid in teaching. (You do not begin teaching students of arithmetic by announcing that they must understand what is meant by the square root of -1.)
Bernard Bachrach:
The major problem with getting a proper understanding of military organization in the medieval West is the dead hand of “feudalism” which has now been invalidated for more than a decade as a means to understanding medieval military organization.
Part of this problem concerns “oaths” which are classified as “feudal” without recognizing that both the Romans and the Byzantines took oaths of faithfulness both to the emperor and to their commanders. These oaths are classified as an antiqua consuetudo in the early Middle Ages, which makes clear that they were based upon Roman imperial models.
… “feudalism” has no place in our understanding of Carolingian history, pace my old teacher F.L. Ganshof.