Random Street View is described as 'Images from all over the World'. There are five alternatives to Random Street View, not only websites but also apps for a variety of platforms, including Android, iPhone, Self-Hosted solutions and OpenStreetMap. The best alternative is Kartaview, which is both free and Open Source. Other great sites and apps similar to Random Street View are City Guesser (Free), GeoGuess (Free, Open Source), showmystreet (Free) and MapCrunch (Free).
Geoguess is a free OpenSource game with Google Map StreetView inspired by GeoGuessr. When you start a round, you are teleport to a random position on Google Street View. Move and observe the vicinity. Try to guess where you are.