Regarding Internet Explorer browsing history:
CCleaner with all boxes checked under “Internet Explorer” appears to leave behind the browsing history of all files located on the local machine and at least some web pages that were opened in IE via third-party programs such as Macrium Reflect. See the attached image (if I succeed in attaching it).
CCleaner Free 5.21.5700 (64-bit)
Internet Explorer 11.0.9600.18426
Windows 7 Home Premium x64 Service Pack 1, English (Canada)
BrowsingHistoryView by NirSoft