I can't think of any off the top of my head. My own program did try to improve the training in psychotherapy, but a problem was that with residents deprived of sleep, fearing USMLE 3, and seeking moonlighting opportunities, they were not paying attention to the finer aspects of psychotherapy, that is highly theoretical and not as quick acting as a medication. It really takes someone truly interested in it (IMHO) to truly appreciate it. I hate saying it but if it came down to reading Linehan or studying for Step 3, I completely understand a resident choosing Step 3. Academic survival, is after all, not overrated.
Another problem I've noticed is several residencies are focused on treating patients in a setting where long-term psychotherapy cannot be done. E.g. working in an ER, or a short-term inpatient unit. I felt I really didn't get into some deep sessions with psychotherapy until I saw them at least several times.
What I'd shoot for is look for programs where you can have access to long-term patients, where you can actually focus on getting step 3 out of the way quickly so you can focus on the psychiatry boards where psychotherapy is something you have to know to some degree, some actual structure to psychotherapy, and actively seeking CMEs in psychotherapy. I've also noticed that doing an H&P starting from prenatal development to the present can lead to some big discoveries and most psychiatrists do not opt for this approach.
IMHO, it's really in a long-term facility, or outpatient, where the patient sees you several times over the course of months, possibly even years where psychotherapy really starts to get to levels where one is passing the levels of that of something anyone could do, with or without training, if they simply just listened and tried to show that they cared.
When one has a borderline patient that self-mutilates, one cannot simply see this patient as a type that needs to be shot up with a needle of Thorazine every time they get the urge to do something dangerous. Unfortunately, it's not out of the ordinary to see a psychiatrist and all they know about dealing with this is this type of approach.
I just saw a patient for the Court who has severe borderline PD and she did not get DBT, despite having it for several years. She was never even referred to it. Pathetic. Utterly pathetic. Someone mentioned in another thread that other psychotherapies may possible be just as effective as DBT. Fine, but the psychiatrist only offered meds, and did not address any of the underlying psychological theories as to deal with the real issue---she was cutting herself because of feelings of emptiness. IMHO, the psychiatrist's treatment was on the order of a sin, but I'll curb my rant.
Oddly, something that really helped my psychotherapy skills was watching Ramsay's Kitchen Nightmares, the British, not the American version. Unfortunately, most of the youtube videos of the British show were removed. You can catch them on BBC-America, but remember I only recommend the British version.
I was able to find one of the episodes from a Chinese website.
http://www.tudou.com/programs/view/8FyznG0v85k/