Various other "insight" problems (mostly word problems)
Various "fixation" problems (e.g., Jansson & Smith, 1990)
"Creative problem solving scenarios" used by (e.g.) Reiter-Palmon which tend to be word problems describing a social / organization problem that must be solved
The "Test of Creative Thinking-Drawing Production" which is of German origin (I believe the source is Urban & Jellen, 1995?)
All of the above usually require a single "best" solution.
You provide a pretty good list of the "classics." I might suggest that you should focus less on whether a specific instrument has a long history and more on whether a type of task has such a history. In fact, it may be a good thing that newer versions are developed of well-established procedures.
Offhand, I can think of three types of task your list doesn't seem to cover. One is word association tests. These measure a fairly low-level "creative" ability (generating unusual ideas in response to a prompt), but they can be useful. They're easily administered, for one thing. Scoring is more challenging, in a way, because you have to count how many times each given response occurs in your data set, but at least it's objective!
The other is variations on the consensual assessment technique. Under this name, we generally associate it with the work of Theresa Amabile, though similar procedures were used long before she came along. The basic idea here is to have people generate an actual creative product (collage, drawing, poem, etc.), then have a panel of judges independently evaluate these products on several dimensions - one of which will be creativity. The judges must work separately. Then the reliability of their pooled judgments can be estimated. This has the advantage of involving creativity proper, rather than just original ideation.
The third is to use some kind of checklist of creative achievements. Again, this has been around for a while, though the more recently developed CAQ has been used a lot lately.
Peer Instruction (Harvard), ConcepTests (Colorado), Cooperative Group Problem Solving (http://dbserc.pitt.edu/Resources/Tutorials-Cooperative-Group-Problem-Solving)
Not the Remote Associates Test - you already mentioned that one, which is essentially a convergent thinking task anyway. I meant measures where the test-taker is presented with a series of words and instructed to write down (or say) the first word that comes to mind. The "score" is based on "unusualness." As I said earlier, it's a pretty low-level aspect of "creativity," especially since you get credit for unique-but-irrelevant responses, but it has been used & does enjoy some validity.
Stephen, the CAQ and others aren't tasks, they're self-report measures. Also, the consensual assessment technique isn't a task either, it is a method of assessing the creativity of a product that could potentially be produced in any task context (or real-world context). As you say, it is Amabile's term for subjective judgements of creativity which date at least as far back as Getzels and Csikszentmihalyi's work in the 60's and arguably to Guilford's work in the 1950s.
Richard, my reading of the question was that Ana-Maria was exploring various ways of measuring creativity ("tasks and tests" being fairly loose), and those two methods are pretty important. As for the antiquity of what we now call the consensual assessment technique, I think it actually dates back to the earliest years of the 20th century. Just can't remember the exact person who first did it that way - someone quite well known - not Jastrow, MacDougall, Munsterberg, Ribot...