Just discovered this bug recently. I never had this problem before, but starting from (at least) 5.0.3.4, italic font rendering in LibreOffice seems to be buggy.
Attached is a comparison of Libre and Open, both Writer program, both Times New Roman font, both 12 pt, both 310% scale.
It can be seen clearly that LibreOffice is not doing well. Only lower case are affected, and only very few characters are affected.
It seems to be only affecting Windows platforms, as both my Win7 64 and Win10 64 are affected. My Ubuntu 15.10 64 seems to be okay.
Anyone has any ideas why this happens?