Are Rorschach (inkblot) tests still used as a diagnostic tool? Are Rorschach tests still used as a diagnostic tool today, or are they just a relic from the 60's? If they are still in use, what sort of information do they provide?
Yes, they are still in use, and they provide rather bad information. My former advisor once worked with a clinician who told him that the main reason they're any better than using the weather report as a projective stimulus is that the Rorschach tests have been in use as-is for decades. Hence we have a better understanding of how people normally react to them, and some catalog of unusual reactions that have been associated with particular characteristics. Had we started with a set of weather reports and stuck with them though, maybe not much else would be different.

Anyway, here are some excerpts from Wikipedia about usage:


  United States
  
  The Rorschach test is used almost exclusively by psychologists. In a survey done in the year 2000, 20% of correctional psychologists used the Rorschach while 80% used the MMPI.[8] Forensic psychologists use the Rorschach 36% of the time.[79]
  In custody cases, 23% of psychologists use the Rorschach to examine a child.[80]
  Another survey found that 124 out of 161 (77%) of clinical psychologists engaging in assessment services utilize the Rorschach,[81] and 80% of psychology graduate programs teach its use.[9]
  Another study found that its use by clinical psychologists was only 43%, while it was used less than 24% of the time by school psychologists.[79]
  
  United Kingdom
  
  Many psychologists in the United Kingdom do not trust its efficacy and it is rarely used.[82] Although skeptical about its scientific validity, some psychologists use it in therapy and coaching "as a way of encouraging self-reflection and starting a conversation about the person's internal world."[25] It is still used, however, by such prestigious mental health organisations as the Tavistock Clinic.[83]
  
  Japan
  
  Shortly after publication of Rorschach's book, a copy found its way to Japan where it was discovered by one of the country's leading psychiatrists in a second-hand book store. He was so impressed that he started a craze for the test that has never diminished. The Japanese Rorschach Society is by far the largest in the world and the test is "routinely put to a wide range of purposes".[26] The test has recently been described as "more popular than ever" in Japan.[83]


And about the objects of (intended / purported) measurement:


  The general goal of the test is to provide data about cognition and personality variables such as motivations, response tendencies, cognitive operations, affectivity, and personal/interpersonal perceptions. The underlying assumption is that an individual will class external stimuli based on person-specific perceptual sets, and including needs, base motives, conflicts, and that this clustering process is representative of the process used in real-life situations.[33] Methods of interpretation differ. Rorschach scoring systems have been described as a system of pegs on which to hang one's knowledge of personality.[34] The most widely used method in the United States is based on the work of Exner.




References
8. Raynor, P., &amp; McIvor, G. (2008). Developments in social work offenders (Research highlights in social work) (pp. 138). London: Jessica Kingsley Publishers. ISBN: 1-84310-538-1.
9. Weiner, I. B., &amp; Greene, R. L. (2007). Handbook of personality assessment. John Wiley &amp; Sons. ISBN: 0-471-22881-8.
25. BBC News. (2012, July 24). What's behind the Rorschach inkblot test? BBC News Magazine. Retrieved July 31, 2014 from http://www.bbc.com/news/magazine-18952667.
26. Fidgen, J. (2012, July 25). On A. Hall (Producer), Dr Inkblot. BBC Radio 4. Retrieved July 31, 2014 from http://www.bbc.co.uk/programmes/b01l0kch.
33. Groth-Marnat, G. (2003). Handbook of psychological assessment. John Wiley &amp; Sons. ISBN: 978-0-471-41979-2.
34. Mons, W. (1950). Principles and practice of the Rorschach Personality Test (2nd ed., pp. 30–31). Faber.
79. Hughes, Gacono, C. B., &amp; Owen, P. F. (2007). Current status of Rorschach assessment: Implications for the school psychologist. Psychology in the Schools, 44(3), 281. DOI: 10.1002/pits.20223.
80. Butcher, J. N. (2009). Oxford handbook of personality assessment (Oxford Library of Psychology) (pp. 290).  Oxford University Press. ISBN: 0-19-536687-5.
81. Camara, Nathan, J. S., &amp; Puente, A. E. (2000). Psychological test usage: Implications in professional psychology. Professional Psychology: Research and Practice, 31(2), 131–154. DOI: 10.1037/0735-7028.31.2.141.
82. Guardian staff. (2013, November 8). Hermann Rorschach Google doodle asks users to interpret inkblot test. The Guardian. Retrieved July 31, 2014 from http://www.theguardian.com/technology/2013/nov/08/hermann-rorschach-google-doodle-inkblot-test.
83. Hall, A. (2012, July 25). Dr Inkblot. BBC Radio 4. Retrieved July 31, 2014 from http://www.bbc.co.uk/programmes/b01l0kch.