LibreOffice has a Repeat Find keyboard shortcut. It doesn't have a Find Previous shortcut. And "Repeat Find" is non-standard and inconsistent even within LO; note the tooltips for the buttons in the Find toolbar are "Find Next" and "Find Previous".
Steps to reproduce:
1. Press Ctrl+F in LO Calc or Writer to bring up Find toolbar.
2. Note the up arrow icon with a Find Previous tooltip.
3. Choose Tools > Customize... > Keyboard.
4. Search for a Find Previous function to assign a keyboard shortcut.
I couldn't find one. There is the function Edit > Repeat Find assigned to Ctrl+Shift+F, but that has no direction. It implicitly repeats the search in the last direction chosen, so you can't switch direction from the keyboard.
I think it would be better if LO worked more like other applications and had Find Next / Find Previous commands matching the toolbar. (Maybe having separate commands would permit LO to have Find Next / Find Previous items in its Edit menu, like KDE programs and Firefox; I guess that's another bug...)
Also see bug 47119 and bug 47120 I filed about other non-standard Repeat Find details.
Platform (if different from the browser): Kubuntu 12.04 alpha 2 amd64 with regular updates
Browser: Mozilla/5.0 (X11; Linux x86_64; rv:11.0) Gecko/20120216 Firefox/11.0 SeaMonkey/2.8
reproduced in 3.6.4 on RFR 17 64 bit
Or at least I can not find needed shortcut
*** Bug 89575 has been marked as a duplicate of this bug. ***
Isn't it about flipping time LO adds Find Prev and Find Next as commands that can be assigned to a key?
This ***bug*** has been open for more than four years, and is still present in 5.2.0.
And phuleeze don't tell me that F3 is doing it, as that's a flipping load of bollocks, F3 only works if the cursor is in the Find Bar.