Very close to HUC, on Shlomitziyon HaMalkah, is a great place to grab lunch, Mamilla Deli. Get the image of a New York Deli out of your head, this is still Jerusalem.
Unlike other experiences I've had in Jerusalem, the customer service here is great! The guy behind the counter the last two times I've been there is in a good mood, very friendly and jokes around. When I was ordering my sandwich, I asked which sauces they had. He responded, "You can't read?" and pointed, with his knife, to the board behind him that listed their sauces.
Chili Sauce and BBQ Sauce on my sandwich was fantastic. Along with that, I added some garlic and sun-dried tomatoes, onions and mixed greens. Yum! For a few shekels more, I got fries and a drink. Nothing too special going on there. But one of my friends ordered these crispy potato things. They were interesting. Little chunks of potato that were battered. Interesting...
The first time I went there, we went for their wings. Yep, that's right. A deli that makes wings. Our wine-infused sauce was great. I hadn't thought of sweet-wine wings. The only issue is that they take a little while to make, so you have to have some time that you are willing to spend waiting for them. But if you have the time it's worth the wait.
I don't have too much else to say, it's a solid restaurant a few blocks away from school and is a nice change of pace from the sandwiches at Beit Shmuel (the cafe in the hotel attached to HUC), or the Moadon at school. It's a good, quiet place to have a lunch and talk, or maybe to even do some homework.