Star Trek but Starfleet HQ has portraits of every Admiral and/or historically important person and they act like the portraits in Harry Potter.

Jim is forever leaving his portrait and snuggling up in Spock’s. They're most often seen napping together in a frame nearest one of the windows (because Vulcans are basically cats) but, due to their fame, they have many portraits around the Academy campus so really it's a toss up where exactly they'll be. They're always together, though.