It won’t really show off any cooking skills (or maybe it will - you can get pretty damn creative with this meal) but how about Raclette? Here;s a description I found quickly, with a link to someplace that sells them, but to be honest, I don’t quite make it the way it says: http://www.jill.net/recipes/recipes/raclette.html
Get cheese and potatoes, and you’re welcome to get the rest of the stuff they mention, but add to it, too. My family sometimes gets shrimp, or slices of beef or chicken (just cut up a steak or chicken breast) and we’ve even gone so far as to cook bacon on the machine. My brother used his for a time to make grilled cheese. He had it in his living room, and he always had a loaf of bread and Kraft singles on the table…plug it in, and cook!
Ok, so grilled cheese aren’t that romantic, but the point is, as two AMAZING cooks, the two of you should be able to make never-before-seen combinations of food onto the thing.
I think the website says that the melted cheese is poured over other foods - we don’t do that. We put cheese directly on the grill, or in the little “shovels” along with other food. We cook the chicken completely on the grill. Basically, the thing to remember about Raclette is that THERE ARE NO RULES! Do whatever you want!
The upside is, its a long meal, as you cook while you eat, so there is a lot of conversation that can happen. It is a lot of fun with a big group of people, but I can see it being romantic too. The down sides - the food tends to be a bit fatty (the cheese at least) and its annoying to clean afterwards, so its not a meal to really have on a regular basis! We have maybe 2 or 3 a year, but its SO GOOD! Especially if its cold and/or rainy or snowing out.
I also am a strong supporter of fondue. Cheese is good, but a Chinese fondue has some of that mix-and-match going for it. And chocolate for dessert is a must!
If you insist on REAL food, how about duck? Duck is yummy (try it with maple syrup - I did that last week and it was FANTASTIC!)
NOTE: I do not cook. I eat what my SO makes for me 