Yes, there is a perfectly working solution.
This extension Tab Thumbnails Switcher can redefine Ctrl+Tab and Ctrl+Shift+Tab to select tabs in MRU order the same way you swich between programs with Alt+Tab in Windows.
The best part is that the tab selector box is implemented natively, so it doesn’t need to inject javascript on each tab for it to work. It works reliably on all tabs.
There’s also a demonstrative video here: https://www.youtube.com/watch?v=2HC7_EI8db4