In the first case the perfect solution would be with horizontal accordion panels, that act like menu i.e. after clicking one photo, it becomes expanded and some submenu options (links) appear. Afterwards links may open on even more expanded panel or simply open as normal page.
In the second case, what is the most important is submenu. I need to see all submenu options for selected menu, while being on the page from the group.
Of course, perfect themes I am looking for should be visually similar to the presented ones. In both cases preferred solution is with sidenav (vertical menu).