I Coppi is one of those nice Italian restaurants with solid food and good service.
It's located in the East Village (near NYU) and is a great date place. It's a great place for a first date because the ambience is casual but nice, not loud and has a garden in the back room.
It exudes romance without being cheesy.
The owners are nice but they don't fawn over you like the Little Italy places tend to do.
You're left alone to enjoy your dishes and each other's company.
My only complaint is that the tables are too close together and once, my date and I felt like we were on a date with the couple next to us because they were so close and eavesdropping on our conversation.
Otherwise, this is a good place - not too expensive and a decent wine list.