Nice variety of things -- presidential palace, Trevi, some posh window shopping, a church at the P del Popolo where a funeral broke out in about 5 minutes just as we were leaving (the hearse arrived, flowers were carried in, then the coffin, then maybe 50-75 mourners were in, zip zip zip), an obelisk with hieroglyphics, the DaVinci museum, houseboats and scullers on the Tevere, a private luncheon, more palaces and castles, a distant view of the Vatican (as close as we needed to get), the gift shop for the underground stadium at P Navona, the Pantheon, S. Ignazio church (very fine), and a few more palaces. No guides, no itinerary, crowds not bad, weather was perfect. No complaints.
Best place for a selfie, in the DaVinci museum, a very small 8-sided room, just big enough for a couple of people, mirrors on all the walls --