Partial and supplemental answer.
As an example1 from Wikipedia's List of natural satellites; Mooons by primary:
(Jupiter's) 84 known irregular moons are organized into two categories: prograde and retrograde. The prograde satellites consist of the Himalia group and three others in groups of one. The retrograde moons are grouped into the Carme, Ananke and Pasiphae groups.
I would like to be able to address the directions that the retrograde moons turn around their own axis of rotation to see if they are all also retrograde rotators2 or not, but I don't even know where to begin.
It could be that for most of these it's simply not known.
1Conveniently, Wikipedia has a Category page Moons with a retrograde orbit which lists both pages of named groups of retrograde moons (including the three in the block quote above) and a list of 136 individual pages for retrograde moons in the solar system!
2Note that if their (retrograde) rotation period is equal to their (retrograde) orbital period, that would make them tidally locked in the same way that our own tidally locked Moon's (prograde) rotation and (prograde) orbital periods are equal.
One full rotation per complete orbit = "locked".
Also note that several tables in Wikipedia give the orbital periods for retrograde moons as negative numbers. This is cute but the more traditional, scientific and accurate if also cumbersome way to do this would be to list the periods as positive number with either a footnote for "retrograde" or to include a column with orbital inclinations which will be near ±180°.
Negative periods suggest time is going backwards, which reminds us of Star Trek's original series episode "Tomorrow is Yesterday" when the Enterprise's chronometers started going backwards. Now Mr. Sulu!