Examples:

• Accounting. Report of organization's financial data that complies with generally recognized accounting practices (even if misleading to casual reader).

• Historic. What the historian discovers from early journalistic truths (even though the journalistic (or comparable) contemporaneous accounts are, unknown to the historian, untrue).

• Income tax. A full report of one's income, taking all "tax avoidance" opportunities without utilizing any "tax evasion" dodges.

• Investment/stock price. "Value" is whatever the market says it is (regardless of underlying assets/value; see Enron, or many "dot.coms").

• Journalistic. What a responsible, professional reporter uncovers operating within the limits of deadlines and sources who refuse to talk.

• Legal. What the jury says it is (as to "facts"); what the Supreme Court says it is (as to "law"). (As Justice Jackson once put it, "We are not final because we are infallible, we are infallible because we are final.")

• Literary/theatrical. (1) A lesson for life that "rings true" (even though drawn from a story that is entirely fictional); (2) an element/event in a fictional story that is consistent with the prior and subsequent story/characters (what, in Hollywood with TV, or feature films, we assign to those responsible for "continuity").

• Religious. What the Pope (or other leader) says it is.

• Schizophrenic. What the patient truly does perceive, and believes to be true, even though it's "not there."

• Scientific. The same/confirming results from a repeatable experiment.

• Witness statement (at scene to police; on stand to court). What the eye-witness actually believes s/he saw (even if others present "saw" it differently; or, indeed, none saw "what really happened").

In all of this inquiry, don't forget general semantics: Levels of abstraction (molecular; role of/differences between individuals' sensory apparatus; perceptions; impact of past experiences/prejudices; labeling and use of "non-sense" (i.e., no verifiable external referents) vocabulary; ability to distinguish between (a) observed space-time events, and (b) inferences); etc., etc.

Perhaps what we are talking about is "social truth"?

If so, and you're interested in considering that in a context of general semantics, you might want to take a look at a piece I wrote some years back that continues to get a lot of hits:

"Searching for the Right Word: The Semantics of Herosexual Relationships," http://www.uiowa.edu/~cyberlaw/archive/riteword.html

What is the "truth" about the relationship between Tom and Liz, or Susie and Ed, in that piece? Can you find any examples of what you think should be charcterized as a "lie"? Why do you think so? Or, if not, why not? If this is not about "truth" and "lies" what is going on here?