Actually to be modern you would use a digital camera and show the shots on your flat screen tv, no projector or screen needed. (Good luck finding bulbs for a lot of old slide projectors, they are all out of production, and you have to look at remainder markets). Also of course there is only one color slide film left Fuji, Kodak has ditched that market completly. (Kodachrome died a while a go and Etkachrome died more recently).
Actually the digital picture frame is another version, in that it can show a lot more pictures than a regular picture frame, however in general not as large.