Since you are in a typical Mediterranean city, the most beautiful photos of Genoa are worth taking in the coastal area, such as from Castelletto Hill, which offers a beautiful view of the Gulf of Genoa. You can also take great photos of Genoa with its colourful rooftops, labyrinthine alleyways and cathedrals.
Photo of the streets of Genoa from above can be taken in the panoramic lift Il Bigo (about 4 EUR). The lift is especially useful for tourists that want to take a picture of Genoa at night - you can easily see the old port and a part of the historic centre. For a photo of Genoa at night, you can also climb one of the city's hills by cable car from Piazza di Portello.