Tangletown is a tasty restaurant and bar that has much better bar food than most places in town. It's a bit like a 74th St Ale House kind of place but I think it's kid friendly because it is a restaurant and bar. You should definitely try it out. The name comes from the fact that this is the name of that area of Seattle before it was actually incorporated into Seattle.
If you need a similar, but not quite like, fix to Honeybear you can get pastries, cakes and such from Zoka a block away.