If you get the chance to visit Fushimi Inari at New Year, you definitely should go! It will be extremely crowded, but the atmosphere is wonderful and there are so many interesting things to see! People pray for the coming year, buy a fortune paper, and maybe a snack from one of the food stalls. If you visit in the evening, it's fun to climb the hill through the tunnel of lantern lit torii, and see candles burning on small altars.
Find out more about Fushimi Inari Taisha.