You should definitely try Pizzeria Da Papi if you are a foodie, they are very famous for their pizzas and also accepts bitcoin. Then there's a bar called Mani al Cielo where they accept BTC for any drink. And if you are not willing to spend your hard earned BTC's for food and drinks, you can try some sports experience (ski, surfing) which are available there in exchange for BTCs.
DaPapi is permanently closed. I had a few drinks at ManiAlCielo today, which I strongly recommend. Nice little bar and I got a 20% discount on Bitcoin payments. Payment went through instantly.
Tomorrow I will be looking for the others (Tabbacheria, Osteria, Bars etc)