Remember that there is a vast difference between psychoanalysis and psychodynamic approaches. The former is almost exclusively applied to freudean/neo-freudean approaches (think id/ego/psychosexual stages); the applied component is long term with the the main focus on personality functioning. Most people don't take psychoanalysis very seriously - except maybe NY (as you mentioned).
Psychodynamic theory has come a long way since Freud and seems to be a closer representation of object-relations and attachment theories. One could argue that Interpersonal Therapy is just a form of Psychodynamic psychotherapy.
There is empirical support for short term psychodynamic appoaches and yes, it is now being talked about again. Just to give an example, Transference Focused Psychotherapy (a short-term dynamic approach) is one few therapies supported in treating BPD (in one study, treatment with TFP showed evidence of more secure attachment following Tx - treatment with DBT did not). Neurobiological theories also seem to be integrating psychodynamic theories (i.e. Siegel, Schore)
Personally, I like newer Psychodynamic approaches, but hate how people always think of Freud when it's talked about - people seem to discredit it because they think it relates to anal stages and whatnot.