I've sometimes been in a dilemma in that my friends want to eat sushi, but I can't eat raw fish. In that case, I order inari-zushi and tamago-maki - my two favorite dishes. Inari zushi is vinegar rice stuffed in fried-tofu, brown bags. The sourness of the vinegar complements the sweetness of the fried tofu. Sometimes, they mix beans or hijiki (a sea vegetable) into the rice. Tamago-maki are rectangular fried eggs placed on top of the vinegar rice with a strip of nori (seaweed) to keep the rice and egg together.
If you want to be adventurous, you should also order nattomaki, which is natto wrapped with rice and then with nori.
So if you want to experience being in a sushi restaurant, but don't enjoy eating raw fish, try these dishes!