I'd say the one towering must is Club Paris on 5th downtown. The Paris Special burger (with some ground tenderloin and on a french roll with au jus) is memorable for lunch, and the 14 oz. filet mignon is a must for dinner. They own the "best steakhouse" local award.

Would also give a nod to Local Burgerman/Arctic Roadrunner at Airport Rd. and Old Seward Hwy. Fast food, but I like the setting, the halibut sandwich and onion pieces and blackberry shakes. A bit reminiscent of the Varsity in Atlanta on a smaller scale and with different offerings.

As for activities, the museum and that Omnimax/earthquake similation place might make some sense on days when the weather isn't good.