That's basically the idea behind the rules we have here on FunTrivia (going back to the original purpose of this thread). We have a certain audience and certain parameters (like character limits) within which we need to operate, and so we have a "FunTrivia Style Guide" that we follow for quiz creation. Titles go in quotation marks; shortenend titles are OK and they also should be in quotation.

Oooh I've heard of Style Guides!

Flopsymopsy and LadyCaitriona, I think I need to get out more.

I pulled one of my references, "The Modern Researcher Fourth Edition" by Jacques Barzun and Henry F. Graff, Harcourt, Brace, Jovanovich Publishers (1985) on two items, one mentioned here and another one (in a way related to the thread start)
This reference book is used by researchers to prepare papers that should be accepted by any reviewing function.

First the Americacn double and single quotes are stated to be used in quotations as follows, from chapter 'The Mechanics of Quotation', rule "1. A quotation is introduced and closed by double quotation marks. A quotation within a quotation carries single quotation marks and a third internal quotation, if required, brings double ones again." (By inference I would expect the same rule to extend to marking of titles within double quotation marks down to identifying the title with single quote marks)

Second, the fact of title abbreviation in citing titles is addressed in a way by approaching the situation where, in the course of a lengthy remark a title may be referred to by dropping a lead article (A or The) as in: ... he references Dickens' "Tale of Two Cities" when he ... But this is justified in the following manner. (I paraphrase, shame on me in this topic to do so, but ...) All titles must be accurately cited and remain true to the original wording. Abbreviations may happen when the full title is existing in a footnote or elsewhere in the work. So title shortening basically is acceptable when done with respect. I guess if an abbreviated title is common in usage that is respect enough? I do not think we are to the "Goblet of Fire" stage yet though.

I would think that depends on context. On a quiz about "Harry Potter" novels I think it would be perfectly acceptable to refer to the books as "Goblet of Fire", "Order of the Phoenix", "Philosopher's Stone", etc. Outside of that context, though, it's probably better to use the whole name.