M.L.
U could look into the story times that the local libraries have for infants/small children.I've never taken my daughter (20 months) myself but they sound fun.
We also just go walk the malls when we start really climbing the walls because even if we don't have the money to shop we're getting outta the house and can do some window shopping.
I've lived here for years and I myself can't think of new things to do during these cold winter days with my daughter.I'm stumped and I don't have many mommy friends who are in the Anchorage area (I grew up in the valley so they're all out there).